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Stefano Pigola & Marco Rigoli 
Vanishing and Finiteness Results in Geometric Analysis 
A Generalization of the Bochner Technique

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Table of Content

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.
Language English ● Format PDF ● Pages 282 ● ISBN 9783764386429 ● File size 1.9 MB ● Publisher Springer Basel ● City Basel ● Country CH ● Published 2008 ● Downloadable 24 months ● Currency EUR ● ID 2205875 ● Copy protection Social DRM

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