Geometric Mechanics on Riemannian Manifolds Applications to Partial Differential Equations /

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Calin, Ovidiu (Author), Chang, Der-Chen (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2005.
Edition:1st ed. 2005.
Series:Applied and Numerical Harmonic Analysis,
Subjects:
Fourier analysis.
Geometry, Differential.
Differential equations.
Mathematical physics.
Harmonic analysis.
Mathematics.
Fourier Analysis.
Differential Geometry.
Differential Equations.
Mathematical Methods in Physics.
Abstract Harmonic Analysis.
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • Introductory Chapter
  • Laplace Operators 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.

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