Vanishing and Finiteness Results in Geometric Analysis : A Generalization of the Bochner Technique
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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| Main Authors: | , , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2008. |
| Series: | Progress in Mathematics
266 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 293 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Vanishing and finiteness results in geometric analysis, a generalization of the Bochner technique, Stefano Pigola, Marco Rigoli, Alberto G. Setti, Basel, Birkhäuser, 2008, 1 vol. (XIV-282 p.), Progress in mathematics, 978-3-7643-8641-2 • Vanishing and Finiteness Results in Geometric Analysis, Texte imprimé, 9783764392413 |
Table of Contents:
- 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