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Differential geometry and the calculus of variations /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Hermann, Robert, 1931-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier Science, 1968.
Colección:Mathematics in science and engineering ; v. 49.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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050 4 |a QA641  |b .D54 1968 
082 0 4 |a 516.3/6  |2 22 
245 0 0 |a Differential geometry and the calculus of variations /  |c [edited by] Robert Hermann. 
260 |a Amsterdam :  |b Elsevier Science,  |c 1968. 
300 |a 1 online resource (vii, 440 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematics in Science and Engineering ;  |v v. 49 
505 0 |a 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. 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
650 0 |a Geometry, Differential. 
650 0 |a Calculus of variations. 
650 6 |a G�eom�etrie diff�erentielle.  |0 (CaQQLa)201-0001184 
650 6 |a Calcul des variations.  |0 (CaQQLa)201-0001183 
650 7 |a Calculus of variations  |2 fast  |0 (OCoLC)fst00844140 
650 7 |a Geometry, Differential  |2 fast  |0 (OCoLC)fst00940919 
700 1 |a Hermann, Robert,  |d 1931- 
830 0 |a Mathematics in science and engineering ;  |v v. 49. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123421500  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/49  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=49  |z Texto completo