Vanishing and finiteness results in geometric analysis : a generalization of the Bochner technique /

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This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Pigola, Stefano, 1973- (Autor), Rigoli, Marco (Autor), Setti, Alberto G. (Alberto Giulio), 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel ; Boston : Birkhauser, ©2008.
Colección:Progress in mathematics (Boston, Mass.) ; v. 266.
Temas:
Riemannian manifolds.
Bochner technique.
Geometry, Riemannian.
Differential equations.
Mathematical Concepts
Variétés de Riemann.
Technique de Bochner.
Géométrie de Riemann.
Équations différentielles.
MATHEMATICS > Geometry > Differential.
Mathematical Concepts.
Bochner technique
Differential equations
Geometry, Riemannian
Riemannian manifolds
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Harmonic, pluriharmonic, holomorphic maps and basic Hermitian and Kählerian geometry
  • Comparison Results
  • Review of spectral theory
  • Vanishing results
  • A finite-dimensionality result
  • Applications to harmonic maps
  • Some topological applications
  • Constancy of holomorphic maps and the structure of complete Kähler manifolds
  • Splitting and gap theorems in the presence of a Poincaré-Sobolev inequality.

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