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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
Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
Autore Gasqui Jacques
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2004
Descrizione fisica 1 online resource (385 p.)
Disciplina 515/.723
Altri autori (Persone) GoldschmidtHubert <1942->
Collana Annals of mathematics studies
Soggetto topico Radon transforms
Grassmann manifolds
Soggetto non controllato Adjoint
Automorphism
Cartan decomposition
Cartan subalgebra
Casimir element
Closed geodesic
Cohomology
Commutative property
Complex manifold
Complex number
Complex projective plane
Complex projective space
Complex vector bundle
Complexification
Computation
Constant curvature
Coset
Covering space
Curvature
Determinant
Diagram (category theory)
Diffeomorphism
Differential form
Differential geometry
Differential operator
Dimension (vector space)
Dot product
Eigenvalues and eigenvectors
Einstein manifold
Elliptic operator
Endomorphism
Equivalence class
Even and odd functions
Exactness
Existential quantification
G-module
Geometry
Grassmannian
Harmonic analysis
Hermitian symmetric space
Hodge dual
Homogeneous space
Identity element
Implicit function
Injective function
Integer
Integral
Isometry
Killing form
Killing vector field
Lemma (mathematics)
Lie algebra
Lie derivative
Line bundle
Mathematical induction
Morphism
Open set
Orthogonal complement
Orthonormal basis
Orthonormality
Parity (mathematics)
Partial differential equation
Projection (linear algebra)
Projective space
Quadric
Quaternionic projective space
Quotient space (topology)
Radon transform
Real number
Real projective plane
Real projective space
Real structure
Remainder
Restriction (mathematics)
Riemann curvature tensor
Riemann sphere
Riemannian manifold
Rigidity (mathematics)
Scalar curvature
Second fundamental form
Simple Lie group
Standard basis
Stokes' theorem
Subgroup
Submanifold
Symmetric space
Tangent bundle
Tangent space
Tangent vector
Tensor
Theorem
Topological group
Torus
Unit vector
Unitary group
Vector bundle
Vector field
Vector space
X-ray transform
Zero of a function
ISBN 1-282-15898-8
9786612158988
1-4008-2617-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index
Record Nr. UNINA-9910778216403321
Gasqui Jacques  
Princeton, N.J., : Princeton University Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Radon transforms and the rigidity of the Grassmannians / / Jacques Gasqui and Hubert Goldschmidt
Radon transforms and the rigidity of the Grassmannians / / Jacques Gasqui and Hubert Goldschmidt
Autore Gasqui Jacques
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2004
Descrizione fisica 1 online resource (385 p.)
Disciplina 515/.723
Altri autori (Persone) GoldschmidtHubert <1942->
Collana Annals of mathematics studies
Soggetto topico Radon transforms
Grassmann manifolds
Soggetto non controllato Adjoint
Automorphism
Cartan decomposition
Cartan subalgebra
Casimir element
Closed geodesic
Cohomology
Commutative property
Complex manifold
Complex number
Complex projective plane
Complex projective space
Complex vector bundle
Complexification
Computation
Constant curvature
Coset
Covering space
Curvature
Determinant
Diagram (category theory)
Diffeomorphism
Differential form
Differential geometry
Differential operator
Dimension (vector space)
Dot product
Eigenvalues and eigenvectors
Einstein manifold
Elliptic operator
Endomorphism
Equivalence class
Even and odd functions
Exactness
Existential quantification
G-module
Geometry
Grassmannian
Harmonic analysis
Hermitian symmetric space
Hodge dual
Homogeneous space
Identity element
Implicit function
Injective function
Integer
Integral
Isometry
Killing form
Killing vector field
Lemma (mathematics)
Lie algebra
Lie derivative
Line bundle
Mathematical induction
Morphism
Open set
Orthogonal complement
Orthonormal basis
Orthonormality
Parity (mathematics)
Partial differential equation
Projection (linear algebra)
Projective space
Quadric
Quaternionic projective space
Quotient space (topology)
Radon transform
Real number
Real projective plane
Real projective space
Real structure
Remainder
Restriction (mathematics)
Riemann curvature tensor
Riemann sphere
Riemannian manifold
Rigidity (mathematics)
Scalar curvature
Second fundamental form
Simple Lie group
Standard basis
Stokes' theorem
Subgroup
Submanifold
Symmetric space
Tangent bundle
Tangent space
Tangent vector
Tensor
Theorem
Topological group
Torus
Unit vector
Unitary group
Vector bundle
Vector field
Vector space
X-ray transform
Zero of a function
ISBN 1-282-15898-8
9786612158988
1-4008-2617-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index
Record Nr. UNINA-9910812650003321
Gasqui Jacques  
Princeton, N.J., : Princeton University Press, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui