An edition of Differential geometry and the calculus of variations
(1968)
Differential geometry and the calculus of variations
by Hermann, Robert
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Differential Geometry, Calculus of variationsShowing 1 featured edition. View all 1 editions?
| Edition | Availability |
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Differential geometry and the calculus of variations
1968, Elsevier Science
electronic resource /
in English
0123421500 9780123421500
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Book Details
Table of Contents
Tangent vector-vector field formalism
Differential forms
Specialization to euclidean spaces : differential manifolds
Mappings, submanifolds, and the implicit function theorem
Jacobi bracket and the lie theory of ordinary differential equations
Frobenius complete integrability theorem
Reduction of dimension when a lie algebra of vector fields leaves a vector-fields invariant
Lie groups
Classical mechanics of particles and continua
Differential forms and variational problems
Hamilton-Jacobi theory
Extremal fields and sufficient conditions for a minimum
Ordinary problems of the calculus of variations
Groups of symmetries of variational problems : applications to mechanics
Elliptic functions
Accessibility problems for path systems
Affine connections on differential manifolds
Rinmannian affine connection and the first variation formula
Hopf-Rinow theorem applications to the theory of covering spaces
Second variation formula and Jacobi vector fields
Sectional curvature and the elementary comparision theorems
Submanifolds of Riemannian manifolds
Groups of isometries
Deformation of submanifolds in Riemannian spaces
First-order invariants of submanifolds and convexity for affinely connected manifolds
Affine groups of automorphisms, induced connections on submanifolds, projective changes of connection
Laplace-Beltrami operator
Characteristics and shock waves
Morse index theorem
Complex manifolds and their submanifolds
Mechanics on Riemannian manifolds.
Edition Notes
Includes bibliographical references and index.
Description based on print version record.
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- Created July 30, 2014
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| May 13, 2020 | Edited by CoverBot | Added new cover |
| July 30, 2014 | Created by ImportBot | Imported from Internet Archive item record. |