Geometric mechanics on Riemannian manifolds : applications to partial differential equations / Ovidiu Calin, Der-Chen Chang.
Editor: Boston : Birkhäuser, c2005Descripción: xv, 278 p. ; 24 cmISBN: 0817643540Tema(s): Riemannian manifolds | Global Riemannian geometry | Mechanics, Analytic | Differential equations, PartialOtra clasificación: 58J05 (35F20 35J05 35K05 53D05 58E20 60H20 70G45) Recursos en línea: Publisher descriptionIntroductory chapterLaplace operator on Riemannian manifoldsLagrangian formalism on Riemannian manifoldsHarmonic maps from a Lagrangian viewpointConservation theoremsHamiltonian formalismHamilton-Jacobi theoryMinimal hypersurfacesRadially symmetric spacesFundamental solutions for heat operators with potentialsFundamental solutions for elliptic operatorsMechanical curves.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 58 C154 (Browse shelf) | Available | A-8682 | |||
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 58 C154 (Browse shelf) | Ej. 2 | Available | A-8896 |
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Incluye referencias bibliográficas (p. [271]-273) e índice.
Introductory chapter -- Laplace operator on Riemannian manifolds -- Lagrangian formalism on Riemannian manifolds -- Harmonic maps from a Lagrangian viewpoint -- Conservation theorems -- Hamiltonian formalism -- Hamilton-Jacobi theory -- Minimal hypersurfaces -- Radially symmetric spaces -- Fundamental solutions for heat operators with potentials -- Fundamental solutions for elliptic operators -- Mechanical curves.
MR, 2005h:58031
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