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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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
Autore Wu Hung-his
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (252 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Value distribution theory
Analytic functions
Functions, Meromorphic
Soggetto non controllato Addition
Algebraic curve
Algebraic number
Atlas (topology)
Binomial coefficient
Cauchy–Riemann equations
Compact Riemann surface
Compact space
Complex manifold
Complex projective space
Computation
Continuous function (set theory)
Covariant derivative
Critical value
Curvature form
Diagram (category theory)
Differential form
Differential geometry of surfaces
Differential geometry
Dimension
Divisor
Essential singularity
Euler characteristic
Existential quantification
Fiber bundle
Gaussian curvature
Geodesic curvature
Geometry
Grassmannian
Harmonic function
Hermann Weyl
Hermitian manifold
Holomorphic function
Homology (mathematics)
Hyperbolic manifold
Hyperplane
Hypersurface
Improper integral
Intersection number (graph theory)
Isometry
Line integral
Manifold
Meromorphic function
Minimal surface
Nevanlinna theory
One-form
Open problem
Open set
Orthogonal complement
Parameter
Picard theorem
Product metric
Q.E.D.
Remainder
Riemann sphere
Riemann surface
Smoothness
Special case
Submanifold
Subset
Tangent space
Tangent
Theorem
Three-dimensional space (mathematics)
Unit circle
Unit vector
Vector field
Volume element
Volume form
ISBN 1-4008-8190-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions
Record Nr. UNINA-9910154750103321
Wu Hung-his  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
Autore Eells James
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (235 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Harmonic maps
Immersions (Mathematics)
Differential equations, Elliptic - Numerical solutions
Soggetto non controllato Arc length
Catenary
Clifford algebra
Codimension
Coefficient
Compact space
Complex projective space
Connected sum
Constant curvature
Corollary
Covariant derivative
Curvature
Cylinder (geometry)
Degeneracy (mathematics)
Diagram (category theory)
Differential equation
Differential geometry
Elliptic partial differential equation
Embedding
Energy functional
Equation
Existence theorem
Existential quantification
Fiber bundle
Gauss map
Geometry and topology
Geometry
Gravitational field
Harmonic map
Hyperbola
Hyperplane
Hypersphere
Hypersurface
Integer
Iterative method
Levi-Civita connection
Lie group
Mathematics
Maximum principle
Mean curvature
Normal (geometry)
Numerical analysis
Open set
Ordinary differential equation
Parabola
Quadratic form
Sign (mathematics)
Special case
Stiefel manifold
Submanifold
Suggestion
Surface of revolution
Symmetry
Tangent bundle
Theorem
Vector bundle
Vector space
Vertical tangent
Winding number
ISBN 1-4008-8250-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX
Record Nr. UNINA-9910154754703321
Eells James  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui