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 |
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| 008 | 080829q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN12704955X | ||
| 020 | |a 9783764386429 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.36 | ||
| 084 | |a 53C21. 2010 | ||
| 084 | |a 35J60. 2010 | ||
| 084 | |a 58J50. 2010 | ||
| 100 | 1 | |a Pigola, Stefano, |d 1973-...., |c Mathématicien. | |
| 245 | 1 | 0 | |a Vanishing and Finiteness Results in Geometric Analysis : |b A Generalization of the Bochner Technique |c Stefano Pigola, Marco Rigoli, Alberto G. Setti. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 266 |x 2296-505X | |
| 500 | |a L'impression du document génère 293 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory. All needed tools are described in detail, often with an original approach. Some of the applications presented concern the topology at infinity of submanifolds, Lp cohomology, metric rigidity of manifolds with positive spectrum, and structure theorems for Kähler manifolds. The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Riemann, Variétés de | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Technique de Bochner | ||
| 700 | 1 | |a Rigoli, Marco, |d 1955- |4 aut | |
| 700 | 1 | |a Setti, Alberto Giulio, |d 1960-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 124709583 |t Vanishing and finiteness results in geometric analysis |o a generalization of the Bochner technique |f Stefano Pigola, Marco Rigoli, Alberto G. Setti |c Basel |n Birkhäuser |d 2008 |p 1 vol. (XIV-282 p.) |s Progress in mathematics |z 978-3-7643-8641-2 | |
| 776 | 0 | |t Vanishing and Finiteness Results in Geometric Analysis |b Texte imprimé |z 9783764392413 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8642-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-V8B86KCN-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747859914 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-8642-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750877413 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-8642-9 |z Accès INSA CVL | |
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