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Barycentric calculus in Euclidian and hyperbolic geometry [[electronic resource] ] : a comparative introduction / / Abraham Albert Ungar
| Barycentric calculus in Euclidian and hyperbolic geometry [[electronic resource] ] : a comparative introduction / / Abraham Albert Ungar |
| Autore | Ungar Abraham Albert |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2010 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina |
516.2
516.22 |
| Soggetto topico |
Geometry, Analytic
Calculus Geometry, Plane Geometry, Hyperbolic |
| ISBN |
1-283-14453-0
9786613144539 981-4304-94-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Preface; 1. Euclidean Barycentric Coordinates and the Classic Triangle Centers; 2. Gyrovector Spaces and Cartesian Models of Hyperbolic Geometry; 3. The Interplay of Einstein Addition and Vector Addition; 4. Hyperbolic Barycentric Coordinates and Hyperbolic Triangle Centers; 5. Hyperbolic Incircles and Excircles; 6. Hyperbolic Tetrahedra; 7. Comparative Patterns; Notation And Special Symbols; Bibliography; Index |
| Record Nr. | UNINA-9910820493703321 |
Ungar Abraham Albert
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| Hackensack, N.J., : World Scientific, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar
| Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar |
| Autore | Ungar Abraham A. |
| Pubbl/distr/stampa | London, England : , : Academic Press, , 2018 |
| Descrizione fisica | 1 online resource (420 pages) : illustrations |
| Disciplina | 530.11 |
| Collana | Mathematical Analysis and its Applications |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
0-12-811774-5
0-12-811773-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Einstein gyrogroups -- 3. Einstein gyrovector spaces -- 4. Bi-gyrogroups and bi-gyrovector spaces - P -- 5. . Bi-gyrogroups and bi-gyrovector spaces - V -- 6. Applications to time-space of signature (m,n) -- 7. Analytic bi-hyperbolic geometry : the geometry of bi-gyrovector spaces. |
| Record Nr. | UNINA-9910583474603321 |
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Ungar Abraham A.
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| London, England : , : Academic Press, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910454579603321 |
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Ungar Abraham A
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| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910780045803321 |
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Ungar Abraham A
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| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910826693203321 |
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Ungar Abraham A
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| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910480533903321 |
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Kaimanovich Vadim A.
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| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910788748703321 |
|
Kaimanovich Vadim A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910812425703321 |
|
Kaimanovich Vadim A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal dynamics and hyperbolic geometry : Conference on Conformal Dynamics and Hyperbolic Geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY New York, New York, October 21-23, 2010 / / Francis Bonahon [and three others], editors
| Conformal dynamics and hyperbolic geometry : Conference on Conformal Dynamics and Hyperbolic Geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY New York, New York, October 21-23, 2010 / / Francis Bonahon [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 516.9 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometric function theory
Deformations (Mechanics) Geometry, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9025-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Normal families and holomorphic motions over infinite dimensional parameter spaces""; ""1. Introduction""; ""2. Proof of Theorem A""; ""3. Group-equivariant extensions of holomorphic motions""; ""4. Proof of Theorem B""; ""References""; ""Elementary moves and the modular group of the compact solenoid""; ""1. Introduction""; ""2. The abstract commensurator ( â??( )) of a surface group""; ""3. Pants decompositions and subgroups of surface groups""; ""4. Elementary moves and induced isomorphisms of finite index subgroups of â??( )""; ""5. The isotropy group""
""6. Exact sequences""""7. The center of (â??) is trivial""; ""8. Relations in (â??)""; ""References""; ""Combinatorics and topology of the shift locus""; ""1. Introduction""; ""2. The space of polynomials and the shift locus""; ""3. Topological conjugacy, the pictograph, and shift automorphisms""; ""4. The Branner-Hubbard slice""; ""5. For further investigation""; ""References""; ""Dynamics of â?¿+ / â?¿; Why the Case =2 is Crazy""; ""Introduction""; ""1. Elementary Mapping Properties""; ""2. The McMullen domain""; ""3. Mandelpinski Necklaces"" ""6. Analytic Isomorphism between Hyperbolic Components."" |
| Record Nr. | UNINA-9910480010703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal dynamics and hyperbolic geometry : Conference on Conformal Dynamics and Hyperbolic Geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY New York, New York, October 21-23, 2010 / / Francis Bonahon [and three others], editors
| Conformal dynamics and hyperbolic geometry : Conference on Conformal Dynamics and Hyperbolic Geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY New York, New York, October 21-23, 2010 / / Francis Bonahon [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 516.9 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometric function theory
Deformations (Mechanics) Geometry, Hyperbolic |
| ISBN | 0-8218-9025-5 |
| Classificazione | 30CXX32GXX37DXX37FXX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Normal families and holomorphic motions over infinite dimensional parameter spaces -- 1. Introduction -- 2. Proof of Theorem A -- 3. Group-equivariant extensions of holomorphic motions -- 4. Proof of Theorem B -- References -- Elementary moves and the modular group of the compact solenoid -- 1. Introduction -- 2. The abstract commensurator of a surface group -- 3. Pants decompositions and subgroups of surface groups -- 4. Elementary moves and induced isomorphisms of finite index subgroups of -- 5. The isotropy group -- 6. Exact sequences -- 7. The center of is trivial -- 8. Relations in -- References -- Combinatorics and topology of the shift locus -- 1. Introduction -- 2. The space of polynomials and the shift locus -- 3. Topological conjugacy, the pictograph, and shift automorphisms -- 4. The Branner-Hubbard slice -- 5. For further investigation -- References -- Dynamics of ⁿ+ / ⁿ - Why the Case =2 is Crazy Introduction -- 1. Elementary Mapping Properties -- 2. The McMullen domain -- 3. Mandelpinski Necklaces -- 6. Analytic Isomorphism between Hyperbolic Components On holomorphic families of Riemann surfaces -- Circle Endomorphisms, Dual Circles and Thompson’s Group -- Rational maps with half symmetries, Julia sets, and Multibrot sets in parameter planes-- The rate of convergence of the hyperbolic density on sequences of domains. -- The asymptotic directions of pleating rays in the Maskit embedding. -- Hyperbolic components -- On barycenter entropy for rational maps -- Parameter Plane of a Family of Meromorphic Functions with Two Asymptotic Values -- |
| Record Nr. | UNINA-9910788638003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
