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Differentiable Manifolds : A Theoretical Physics Approach / Gerardo F. Torres del Castillo
Differentiable Manifolds : A Theoretical Physics Approach / Gerardo F. Torres del Castillo
Autore Torres del Castillo, Gerardo F.
Edizione [2. ed]
Pubbl/distr/stampa Cham, : Birkhäuser, : Springer, 2020
Descrizione fisica x, 444 p. : ill. ; 24 cm
Soggetto topico 58-XX - Global analysis, analysis on manifolds [MSC 2020]
70H05 - Hamilton's equations [MSC 2020]
53C21 - Methods of global Riemannian geometry, including PDE methods; curvature restrictions [MSC 2020]
58A05 - Differentiable manifolds, foundations [MSC 2020]
70H03 - Lagrange's equations [MSC 2020]
Soggetto non controllato Differentiable manifolds
Differential forms algebra
Euler equations
Fiber bundles physics
Hamiltonian classical mechanics
Lie algebras physics
Lie derivatives
Lie groups physics and geometry
Metric tensor
Riemannian manifolds
Tensor field
Time-dependent formalism
Vector fields
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0248996
Torres del Castillo, Gerardo F.  
Cham, : Birkhäuser, : Springer, 2020
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Differentiable Manifolds : A Theoretical Physics Approach / Gerardo F. Torres del Castillo
Differentiable Manifolds : A Theoretical Physics Approach / Gerardo F. Torres del Castillo
Autore Torres del Castillo, Gerardo F.
Edizione [2. ed]
Pubbl/distr/stampa Cham, : Birkhäuser, : Springer, 2020
Descrizione fisica x, 444 p. : ill. ; 24 cm
Soggetto topico 53C21 - Methods of global Riemannian geometry, including PDE methods; curvature restrictions [MSC 2020]
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58A05 - Differentiable manifolds, foundations [MSC 2020]
70H03 - Lagrange's equations [MSC 2020]
70H05 - Hamilton's equations [MSC 2020]
Soggetto non controllato Differentiable manifolds
Differential forms algebra
Euler equations
Fiber bundles physics
Hamiltonian classical mechanics
Lie Algebras
Lie derivatives
Lie groups
Metric tensor
Riemannian manifolds
Tensor field
Time-dependent formalism
Vector fields
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00248996
Torres del Castillo, Gerardo F.  
Cham, : Birkhäuser, : Springer, 2020
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Autore Kumpera Antonio
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Lie groups
Lie algebras
Differential equations
Soggetto non controllato Adjoint representation
Adjoint
Affine transformation
Alexander Grothendieck
Analytic function
Associative algebra
Atlas (topology)
Automorphism
Bernhard Riemann
Big O notation
Bundle map
Category of topological spaces
Cauchy–Riemann equations
Coefficient
Commutative diagram
Commutator
Complex conjugate
Complex group
Complex manifold
Computation
Conformal map
Continuous function
Coordinate system
Corollary
Cotangent bundle
Curvature tensor
Deformation theory
Derivative
Diagonal
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Direct proof
Direct sum
Ellipse
Endomorphism
Equation
Exact sequence
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frame bundle
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Group isomorphism
Groupoid
Holomorphic function
Homeomorphism
Integer
J-invariant
Jacobian matrix and determinant
Jet bundle
Linear combination
Linear map
Manifold
Maximal ideal
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Quantity
Regular map (graph theory)
Requirement
Riemann surface
Right inverse
Scalar multiplication
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Transpose
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
ISBN 1-4008-8173-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index
Record Nr. UNINA-9910154751903321
Kumpera Antonio  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui