Geometric mechanics on Riemannian manifolds : applications to partial differential equations
著者
書誌事項
Geometric mechanics on Riemannian manifolds : applications to partial differential equations
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2005
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注記
Includes bibliographical references (p. [271]-273) and index
内容説明・目次
内容説明
* A geometric approach to problems in physics, many of which cannot be solved by any other methods
* Text is enriched with good examples and exercises at the end of every chapter
* Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics
目次
* Preface * 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 * Bibliography * Index
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