Introduction to Global Variational Geometry
Resource Information
The work Introduction to Global Variational Geometry represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Introduction to Global Variational Geometry
Resource Information
The work Introduction to Global Variational Geometry represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Introduction to Global Variational Geometry
 Statement of responsibility
 by Demeter Krupka
 Subject

 Global differential geometry
 Global differential geometry
 Global differential geometry
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Mathematics
 Mathematics
 Mathematics
 Theoretical, Mathematical and Computational Physics
 Calculus of Variations and Optimal Control; Optimization
 Classical and Quantum Gravitation, Relativity Theory
 Differential Geometry
 Electronic resources
 Global Analysis and Analysis on Manifolds
 Global analysis
 Language
 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) finitedimensional 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 higherorder fibered mechanics. The book chapters include:  foundations of jet bundles and analysis of differential forms and vector fields on jet bundles,  the theory of higherorder 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
 Image bit depth
 0
 LC call number
 QA614614.97
 Literary form
 non fiction
 Series statement
 Atlantis Studies in Variational Geometry,
 Series volume
 1
Context
Context of Introduction to Global Variational GeometryWork of
No resources found
No enriched resources found
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/resource/gY6zCEzCP0M/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/gY6zCEzCP0M/">Introduction to Global Variational Geometry</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work Introduction to Global Variational Geometry
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/resource/gY6zCEzCP0M/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/gY6zCEzCP0M/">Introduction to Global Variational Geometry</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>