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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
Autore Guillemin Victor
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (236 pages) : illustrations
Disciplina 523.1/072/4
Collana Annals of Mathematics Studies
Soggetto topico Cosmology - Mathematical models
Geometry, Differential
Lorentz transformations
Soggetto non controllato Automorphism
Bijection
C0
Canonical form
Canonical transformation
Cauchy distribution
Causal structure
Cayley transform
Codimension
Cohomology
Cokernel
Compactification (mathematics)
Complexification (Lie group)
Computation
Conformal geometry
Conformal map
Conformal symmetry
Connected sum
Contact geometry
Corank
Covariant derivative
Covering space
Deformation theory
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Einstein field equations
Equation
Euler characteristic
Existential quantification
Fiber bundle
Fibration
Floquet theory
Four-dimensional space
Fourier integral operator
Fourier transform
Fundamental group
Geodesic
Hamilton–Jacobi equation
Hilbert space
Holomorphic function
Holomorphic vector bundle
Hyperfunction
Hypersurface
Integral curve
Integral geometry
Integral transform
Intersection (set theory)
Invertible matrix
K-finite
Lagrangian (field theory)
Lie algebra
Light cone
Linear map
Manifold
Maxima and minima
Minkowski space
Module (mathematics)
Notation
One-parameter group
Parametrix
Parametrization
Principal bundle
Product metric
Pseudo-differential operator
Quadratic equation
Quadratic form
Quadric
Radon transform
Riemann surface
Riemannian manifold
Seifert fiber space
Sheaf (mathematics)
Siegel domain
Simply connected space
Submanifold
Submersion (mathematics)
Support (mathematics)
Surjective function
Symplectic manifold
Symplectic vector space
Symplectomorphism
Tangent space
Tautology (logic)
Tensor product
Theorem
Topological space
Topology
Two-dimensional space
Unit vector
Universal enveloping algebra
Variable (mathematics)
Vector bundle
Vector field
Vector space
Verma module
Volume form
X-ray transform
ISBN 1-4008-8241-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography
Record Nr. UNINA-9910154746903321
Guillemin Victor  
Princeton, NJ : , : Princeton University Press, , [2016]
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Geometry and topology of manifolds : 10. China-Japan conference 2014 / Akito Futaki ... [et al.] editors
Geometry and topology of manifolds : 10. China-Japan conference 2014 / Akito Futaki ... [et al.] editors
Pubbl/distr/stampa [Tokyo], : Springer, 2016
Descrizione fisica XII, 348 p. : ill. ; 24 cm
Soggetto topico 53Cxx - Global differential geometry [MSC 2020]
Soggetto non controllato Kähler manifolds
Minimal submanifold
Partial differential equations
Riemannian manifold
Symplectic manifold
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0114820
[Tokyo], : Springer, 2016
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Geometry and topology of manifolds : 10. China-Japan conference 2014 / Akito Futaki ... [et al.] editors
Geometry and topology of manifolds : 10. China-Japan conference 2014 / Akito Futaki ... [et al.] editors
Pubbl/distr/stampa [Tokyo], : Springer, 2016
Descrizione fisica XII, 348 p. : ill. ; 24 cm
Soggetto topico 53Cxx - Global differential geometry [MSC 2020]
Soggetto non controllato Kähler manifolds
Minimal submanifold
Partial differential equations
Riemannian manifold
Symplectic manifold
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00114820
[Tokyo], : Springer, 2016
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910786749103321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910828604403321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Seminar on minimal submanifolds / / edited by Enrico Bombieri
Seminar on minimal submanifolds / / edited by Enrico Bombieri
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , 1983
Descrizione fisica 1 online resource (368 pages) : illustrations
Disciplina 516.3/6
Collana Annals of mathematics studies
Soggetto topico Minimal submanifolds
Soggetto non controllato A priori estimate
Analytic function
Banach space
Boundary (topology)
Boundary value problem
Bounded set (topological vector space)
Branch point
Cauchy–Riemann equations
Center manifold
Closed geodesic
Codimension
Coefficient
Cohomology
Compactness theorem
Comparison theorem
Configuration space
Conformal geometry
Conformal group
Conformal map
Continuous function
Cross product
Curve
Degeneracy (mathematics)
Diffeomorphism
Differential form
Dirac operator
Discrete group
Divergence theorem
Eigenvalues and eigenvectors
Elementary proof
Equation
Existence theorem
Existential quantification
Exterior derivative
First variation
Free boundary problem
Fundamental group
Gauss map
Geodesic
Geometry
Group action
Hamiltonian mechanics
Harmonic function
Harmonic map
Hausdorff dimension
Hausdorff measure
Homotopy group
Homotopy
Hurewicz theorem
Hyperbolic 3-manifold
Hyperbolic manifold
Hyperbolic space
Hypersurface
Implicit function theorem
Infimum and supremum
Injective function
Inner automorphism
Isolated singularity
Isometry group
Isoperimetric problem
Klein bottle
Kleinian group
Limit set
Lipschitz continuity
Mapping class group
Maxima and minima
Maximum principle
Minimal surface of revolution
Minimal surface
Monotonic function
Möbius transformation
Norm (mathematics)
Orthonormal basis
Parametric surface
Periodic function
Poincaré conjecture
Projection (linear algebra)
Regularity theorem
Riemann surface
Riemannian manifold
Schwarz reflection principle
Second fundamental form
Semi-continuity
Simply connected space
Special case
Stein's lemma
Subalgebra
Subgroup
Submanifold
Subsequence
Support (mathematics)
Symplectic manifold
Tangent space
Teichmüller space
Theorem
Trace (linear algebra)
Uniformization
Uniqueness theorem
Variational principle
Yamabe problem
ISBN 1-4008-8143-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter
Record Nr. UNINA-9910154753403321
Princeton, NJ : , : Princeton University Press, , 1983
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
Autore Hörmander Lars
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (296 pages) : illustrations
Disciplina 515/.353
Collana Annals of Mathematics Studies
Soggetto topico Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions
Soggetto non controllato A priori estimate
Adjoint equation
Analytic continuation
Analytic function
Analytic manifold
Asymptote
Asymptotic analysis
Asymptotic distribution
Asymptotic expansion
Asymptotic formula
Big O notation
Calculus on manifolds
Canonical transformation
Characteristic equation
Characteristic function (probability theory)
Codimension
Cohomology
Commutator
Complex manifold
Complex number
Continuous function (set theory)
Continuous function
Covariant derivative
Diffeomorphism
Differential equation
Differential operator
Dirichlet problem
Eigenfunction
Eigenvalues and eigenvectors
Elementary proof
Elliptic boundary value problem
Equation
Equivalence class
Equivalence relation
Error term
Existence theorem
Existential quantification
Exponential function
Fourier integral operator
Fourier inversion theorem
Fourier transform
Functional calculus
Fundamental solution
Hamiltonian vector field
Hardy space
Harmonic analysis
Hermann Weyl
Hermitian adjoint
Hilbert space
Holomorphic function
Homogeneous function
Hyperbolic partial differential equation
Hyperfunction
Hypersurface
Inclusion map
Inequality (mathematics)
Integer lattice
Integral transform
Irreducible representation
Lagrangian (field theory)
Laplace operator
Limit (mathematics)
Linear map
Local diffeomorphism
Manifold
Mathematical optimization
Maximal torus
Monotonic function
Ordinary differential equation
Oscillatory integral
Partial differential equation
Partition of unity
Poisson bracket
Poisson summation formula
Polynomial
Projection (linear algebra)
Projective variety
Pseudo-differential operator
Regularity theorem
Renormalization
Riemann surface
Riemannian manifold
Riesz representation theorem
Self-adjoint operator
Self-adjoint
Sign (mathematics)
Special case
Spectral theorem
Spectral theory
Summation
Support (mathematics)
Symplectic geometry
Symplectic manifold
Taylor series
Theorem
Toeplitz operator
Trace class
Trigonometric polynomial
Unit disk
Variable (mathematics)
ISBN 1-4008-8158-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter
Record Nr. UNINA-9910154745903321
Hörmander Lars  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
Autore Boutet de Monvel L.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (168 pages)
Disciplina 515.7/246
Collana Annals of Mathematics Studies
Soggetto topico Toeplitz operators
Spectral theory (Mathematics)
Soggetto non controllato Algebraic variety
Asymptotic analysis
Asymptotic expansion
Big O notation
Boundary value problem
Change of variables
Chern class
Codimension
Cohomology
Compact group
Complex manifold
Complex vector bundle
Connection form
Contact geometry
Corollary
Cotangent bundle
Curvature form
Diffeomorphism
Differentiable manifold
Dimensional analysis
Discrete spectrum
Eigenvalues and eigenvectors
Elaboration
Elliptic operator
Embedding
Equivalence class
Existential quantification
Exterior (topology)
Fourier integral operator
Fourier transform
Hamiltonian vector field
Holomorphic function
Homogeneous function
Hypoelliptic operator
Integer
Integral curve
Integral transform
Invariant subspace
Lagrangian (field theory)
Lagrangian
Limit point
Line bundle
Linear map
Mathematics
Metaplectic group
Natural number
Normal space
One-form
Open set
Operator (physics)
Oscillatory integral
Parallel transport
Parameter
Parametrix
Periodic function
Polynomial
Projection (linear algebra)
Projective variety
Pseudo-differential operator
Q.E.D.
Quadratic form
Quantity
Quotient ring
Real number
Scientific notation
Self-adjoint
Smoothness
Spectral theorem
Spectral theory
Square root
Submanifold
Summation
Support (mathematics)
Symplectic geometry
Symplectic group
Symplectic manifold
Symplectic vector space
Tangent space
Theorem
Todd class
Toeplitz algebra
Toeplitz matrix
Toeplitz operator
Trace formula
Transversal (geometry)
Trigonometric functions
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume form
Wave front set
ISBN 1-4008-8144-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter
Record Nr. UNINA-9910154743403321
Boutet de Monvel L.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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