Geometric mechanics on Riemannian manifolds. Applications to partial differential equations

zbMath1062.58024MaRDI QIDQ1763011

Ovidiu Calin, Der-Chen E. Chang

Publication date: 18 February 2005

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldfundamental solutionLaplace operatorminimal hypersurfaceharmonic mapLagrangianHamilton-Jacobi theory

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear first-order PDEs (35F20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Stochastic integral equations (60H20) Symplectic geometry, contact geometry (53Dxx) Partial differential equations on manifolds; differential operators (58Jxx) Variational problems in infinite-dimensional spaces (58Exx)

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