The Laplacian on a Riemannian manifold : an introduction to analysis on manifolds /

This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rosenberg, Steven, 1951- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, U.K. ; New York, NY, USA : Cambridge University Press, 1997.
Colección:London Mathematical Society student texts ; 31.
Temas:
Riemannian manifolds.
Laplacian operator.
Variétés de Riemann.
Laplacien.
MATHEMATICS > Geometry > Analytic.
Laplace-Operator
Riemannscher Raum
Riemann, Variétés de.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • 1. The Laplacian on a Riemannian manifold
  • 2. Elements of differential geometry
  • 3. The construction of the Heat Kernel
  • 4. The Heat equation approach to the Atiyah-singer index Theorem
  • 5. Zeta functions of laplacians.

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