The Resource Introduction to Global Variational Geometry, by Demeter Krupka, (electronic resource)

Introduction to Global Variational Geometry, by Demeter Krupka, (electronic resource)

Label
Introduction to Global Variational Geometry
Title
Introduction to Global Variational Geometry
Statement of responsibility
by Demeter Krupka
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. Complete formulations and proofs of all basic assertions are given, based on theorems of global analysis explained in the Appendix
Member of
http://library.link/vocab/creatorName
Krupka, Demeter
Dewey number
  • 510
  • 514.74
  • 515.64
  • 516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
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Language note
English
LC call number
QA614-614.97
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Atlantis Studies in Variational Geometry,
Series volume
1
http://library.link/vocab/subjectName
  • Global analysis
  • Global differential geometry
  • Mathematical optimization
  • Global Analysis and Analysis on Manifolds
  • Differential Geometry
  • Calculus of Variations and Optimal Control; Optimization
  • Theoretical, Mathematical and Computational Physics
  • Classical and Quantum Gravitation, Relativity Theory
Label
Introduction to Global Variational Geometry, by Demeter Krupka, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Jet prolongations of fibred manifolds -- Differential forms on jet prolongations of fibred manifolds -- Formal divergence equations -- Variational structures -- Invariant variational structures -- Examples: Natural Lagrange structures -- Elementary sheaf theory -- Variational sequences
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (366 p.)
Form of item
online
Isbn
9789462390737
Media category
computer
Media type code
c
Other control number
10.2991/978-94-6239-073-7
Specific material designation
remote
System control number
  • (CKB)3710000000337934
  • (EBL)1967744
  • (OCoLC)900193753
  • (SSID)ssj0001424509
  • (PQKBManifestationID)11801998
  • (PQKBTitleCode)TC0001424509
  • (PQKBWorkID)11363156
  • (PQKB)11237474
  • (DE-He213)978-94-6239-073-7
  • (MiAaPQ)EBC1967744
  • (EXLCZ)993710000000337934
Label
Introduction to Global Variational Geometry, by Demeter Krupka, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Jet prolongations of fibred manifolds -- Differential forms on jet prolongations of fibred manifolds -- Formal divergence equations -- Variational structures -- Invariant variational structures -- Examples: Natural Lagrange structures -- Elementary sheaf theory -- Variational sequences
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (366 p.)
Form of item
online
Isbn
9789462390737
Media category
computer
Media type code
c
Other control number
10.2991/978-94-6239-073-7
Specific material designation
remote
System control number
  • (CKB)3710000000337934
  • (EBL)1967744
  • (OCoLC)900193753
  • (SSID)ssj0001424509
  • (PQKBManifestationID)11801998
  • (PQKBTitleCode)TC0001424509
  • (PQKBWorkID)11363156
  • (PQKB)11237474
  • (DE-He213)978-94-6239-073-7
  • (MiAaPQ)EBC1967744
  • (EXLCZ)993710000000337934

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