Geometric mechanics on Riemannian manifolds : applications to partial differential equations
Ovidiu Calin, Der-Chen Chang.
Boston : Birkhäuser, ©2005.
xv, 278 págs. ; 24 cm.
ISBN: 0817643540
Incluye referencias bibliográficas (p. [271]-273) e índice.
Reseña: MathSciNet, 2005h:58031
Contenido
- 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.
