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Compact manifolds with special holonomy / Dominic D. Joyce
| Compact manifolds with special holonomy / Dominic D. Joyce |
| Autore | Joyce, Dominic D. |
| Pubbl/distr/stampa | Oxford, UK ; New York : Oxford University Press, 2000 |
| Descrizione fisica | xii, 436 p. ; 25 cm. |
| Disciplina |
516.07
613.J69 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
Holonomy groups
Manifolds (Mathematics) |
| ISBN | 0198506015 |
| Classificazione | AMS 53C29 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000762319707536 |
Joyce, Dominic D.
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| Oxford, UK ; New York : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Nearly Pseudo-Kähler Manifolds and Related Special Holonomies [e-book] / by Lars Schäfer
| Nearly Pseudo-Kähler Manifolds and Related Special Holonomies [e-book] / by Lars Schäfer |
| Autore | Schäfer, Lars |
| Descrizione fisica | 1 online resource (vii, 183 pages) |
| Disciplina | 516.36 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2201 |
| Soggetto topico |
Kählerian manifolds
Holonomy groups Geometry, Differential |
| ISBN |
9783319658070
3319658077 |
| Classificazione | AMS 53C10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface ; Chapter 1. Introduction ; Chapter 2. Preliminaries ; Chapter 3. Nearly pseudo-Kähler and nearly para-Kähler manifolds ; Chapter 4. Hitchin's flow equations ; Bibliography |
| Record Nr. | UNISALENTO-991003574599707536 |
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Schäfer, Lars
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I. Pseudo-riemannian and pseudo-hermitian symmetric spaces""; ""Â 1. Pseudo-riemannian symmetric spaces""; ""Â 2. Pseudo-riemannian symmetric triples""; ""Â 3. Covering of symmetric spaces""; ""Â 4. Holonomy and the de Rham decomposition""; ""Â 5. Levi decomposition and reducibility""; ""Â 6. Pseudo-hermitian symmetric spaces""; ""Â 7. Levi factors""; ""Chapter II. Weakly irreducible spaces on which the action of the holonomy group is neither semi simple nor nilpotent""; ""Â 1. Decomposition of G into a direct sum of S-modules""
""Â 2. Geometrical characterization of the subspaces X, P[sub(R)] and P[sub(S)]""""Â 3. Structure theorem for indecomposable PHSQ""; ""Â 4. Decomposition of V into minimal S-Ï?-stable subspaces""; ""Chapter III. Structure of the spaces admitting a maximal parallel foliation with zero curvature""; ""Â 1. Algebras with minimal multiplication""; ""Â 2. Construction of PRST and PHSQ with minimal multiplication""; ""Â 3. Classification of PRST with minimal multiplication""; ""Â 4. Symmetric spaces with parallel distribution""; ""Chapter IV. Structure of the S-module Y"" ""Â 1. Real and complex representations""""Â 2. Orthogonal representations""; ""Â 3. Representations compatible with Ï?""; ""Â 4. Non singular S-irreducible subspaces V[sub(Ï?)]""; ""Â 5. Non singular S-reducible subspaces V[sub(Ï?)]""; ""Â 6. Totally isotropic subspaces V[sub(Ï?)] in duality""; ""Â 7. Ricci tensor and complex structure""; ""Chapter V. Construction of the admissible S-modules V[sub(Ï?)]""; ""Â 1. Reformulation of the conditions of chapter IV""; ""Â 2. Some examples""; ""Â 3. Classification of the S-modules with dim S = 3"" ""Chapter VI. Some examples of non minimal multiplication""""Â 1. Indecomposable PRST with Levi factor Sl(2,R)/R""; ""Â 2. Indecomposable PHSQ with Levi factor Sl(2,R)/So(2) or So(3)/'So{2)""; ""Chapter VII. Classification of the indecomposable PRST of dimension lower than 8""; ""Â 1. Preliminary lemmas""; ""Â 2. dim P = 4""; ""Â 3. dim P = 5""; ""Â 4. dim P = 6""; ""Â 5. dim P = 7""; ""Bibliography"" |
| Record Nr. | UNINA-9910480835403321 |
|
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I. Pseudo-riemannian and pseudo-hermitian symmetric spaces""; ""Â 1. Pseudo-riemannian symmetric spaces""; ""Â 2. Pseudo-riemannian symmetric triples""; ""Â 3. Covering of symmetric spaces""; ""Â 4. Holonomy and the de Rham decomposition""; ""Â 5. Levi decomposition and reducibility""; ""Â 6. Pseudo-hermitian symmetric spaces""; ""Â 7. Levi factors""; ""Chapter II. Weakly irreducible spaces on which the action of the holonomy group is neither semi simple nor nilpotent""; ""Â 1. Decomposition of G into a direct sum of S-modules""
""Â 2. Geometrical characterization of the subspaces X, P[sub(R)] and P[sub(S)]""""Â 3. Structure theorem for indecomposable PHSQ""; ""Â 4. Decomposition of V into minimal S-Ï?-stable subspaces""; ""Chapter III. Structure of the spaces admitting a maximal parallel foliation with zero curvature""; ""Â 1. Algebras with minimal multiplication""; ""Â 2. Construction of PRST and PHSQ with minimal multiplication""; ""Â 3. Classification of PRST with minimal multiplication""; ""Â 4. Symmetric spaces with parallel distribution""; ""Chapter IV. Structure of the S-module Y"" ""Â 1. Real and complex representations""""Â 2. Orthogonal representations""; ""Â 3. Representations compatible with Ï?""; ""Â 4. Non singular S-irreducible subspaces V[sub(Ï?)]""; ""Â 5. Non singular S-reducible subspaces V[sub(Ï?)]""; ""Â 6. Totally isotropic subspaces V[sub(Ï?)] in duality""; ""Â 7. Ricci tensor and complex structure""; ""Chapter V. Construction of the admissible S-modules V[sub(Ï?)]""; ""Â 1. Reformulation of the conditions of chapter IV""; ""Â 2. Some examples""; ""Â 3. Classification of the S-modules with dim S = 3"" ""Chapter VI. Some examples of non minimal multiplication""""Â 1. Indecomposable PRST with Levi factor Sl(2,R)/R""; ""Â 2. Indecomposable PHSQ with Levi factor Sl(2,R)/So(2) or So(3)/'So{2)""; ""Chapter VII. Classification of the indecomposable PRST of dimension lower than 8""; ""Â 1. Preliminary lemmas""; ""Â 2. dim P = 4""; ""Â 3. dim P = 5""; ""Â 4. dim P = 6""; ""Â 5. dim P = 7""; ""Bibliography"" |
| Record Nr. | UNINA-9910788894103321 |
|
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I. Pseudo-riemannian and pseudo-hermitian symmetric spaces""; ""Â 1. Pseudo-riemannian symmetric spaces""; ""Â 2. Pseudo-riemannian symmetric triples""; ""Â 3. Covering of symmetric spaces""; ""Â 4. Holonomy and the de Rham decomposition""; ""Â 5. Levi decomposition and reducibility""; ""Â 6. Pseudo-hermitian symmetric spaces""; ""Â 7. Levi factors""; ""Chapter II. Weakly irreducible spaces on which the action of the holonomy group is neither semi simple nor nilpotent""; ""Â 1. Decomposition of G into a direct sum of S-modules""
""Â 2. Geometrical characterization of the subspaces X, P[sub(R)] and P[sub(S)]""""Â 3. Structure theorem for indecomposable PHSQ""; ""Â 4. Decomposition of V into minimal S-Ï?-stable subspaces""; ""Chapter III. Structure of the spaces admitting a maximal parallel foliation with zero curvature""; ""Â 1. Algebras with minimal multiplication""; ""Â 2. Construction of PRST and PHSQ with minimal multiplication""; ""Â 3. Classification of PRST with minimal multiplication""; ""Â 4. Symmetric spaces with parallel distribution""; ""Chapter IV. Structure of the S-module Y"" ""Â 1. Real and complex representations""""Â 2. Orthogonal representations""; ""Â 3. Representations compatible with Ï?""; ""Â 4. Non singular S-irreducible subspaces V[sub(Ï?)]""; ""Â 5. Non singular S-reducible subspaces V[sub(Ï?)]""; ""Â 6. Totally isotropic subspaces V[sub(Ï?)] in duality""; ""Â 7. Ricci tensor and complex structure""; ""Chapter V. Construction of the admissible S-modules V[sub(Ï?)]""; ""Â 1. Reformulation of the conditions of chapter IV""; ""Â 2. Some examples""; ""Â 3. Classification of the S-modules with dim S = 3"" ""Chapter VI. Some examples of non minimal multiplication""""Â 1. Indecomposable PRST with Levi factor Sl(2,R)/R""; ""Â 2. Indecomposable PHSQ with Levi factor Sl(2,R)/So(2) or So(3)/'So{2)""; ""Chapter VII. Classification of the indecomposable PRST of dimension lower than 8""; ""Â 1. Preliminary lemmas""; ""Â 2. dim P = 4""; ""Â 3. dim P = 5""; ""Â 4. dim P = 6""; ""Â 5. dim P = 7""; ""Bibliography"" |
| Record Nr. | UNINA-9910817226103321 |
|
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu
| Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu |
| Autore | Marsden Jerrold E. |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 531 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Mechanics, Analytic
Symmetry groups Holonomy groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0859-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection
integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References"" |
| Record Nr. | UNINA-9910480190803321 |
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Marsden Jerrold E.
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu
| Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu |
| Autore | Marsden Jerrold E. |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 531 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Mechanics, Analytic
Symmetry groups Holonomy groups |
| ISBN | 1-4704-0859-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection
integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References"" |
| Record Nr. | UNINA-9910788874803321 |
|
Marsden Jerrold E.
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu
| Reduction, symmetry, and phases in mechanics / / J. E. Marsden, R. Montgomery, and T. Ratiu |
| Autore | Marsden Jerrold E. |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina | 531 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Mechanics, Analytic
Symmetry groups Holonomy groups |
| ISBN | 1-4704-0859-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection
integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References"" |
| Record Nr. | UNINA-9910817124103321 |
|
Marsden Jerrold E.
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||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce
| Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce |
| Autore | Joyce Dominic D |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | 1 online resource (314 p.) |
| Disciplina | 516.373 |
| Collana | Oxford graduate texts in mathematics |
| Soggetto topico |
Geometry, Riemannian
Holonomy groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-14944-6
9786611149444 0-19-152697-5 1-4294-7033-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index |
| Record Nr. | UNINA-9910451624603321 |
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Joyce Dominic D
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| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce
| Riemannian holonomy groups and calibrated geometry [[electronic resource] /] / Dominic D. Joyce |
| Autore | Joyce Dominic D |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | 1 online resource (314 p.) |
| Disciplina | 516.373 |
| Collana | Oxford graduate texts in mathematics |
| Soggetto topico |
Geometry, Riemannian
Holonomy groups |
| ISBN |
1-383-03540-7
1-281-14944-6 9786611149444 0-19-152697-5 1-4294-7033-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index |
| Record Nr. | UNINA-9910777813803321 |
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Joyce Dominic D
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| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
