Vanishing and Finiteness Results in Geometric Analysis (Record no. 425933)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03654nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783764386429 |
| -- | 978-3-7643-8642-9 |
| 024 7# - | |
| -- | 10.1007/978-3-7643-8642-9 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA641-670 |
| 072 #7 - | |
| -- | PBMP |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012030 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBMP |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pigola, Stefano. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Vanishing and Finiteness Results in Geometric Analysis |
| Medium | [electronic resource] : |
| Remainder of title | A Generalization of the Bochner Technique / |
| Statement of responsibility, etc | by Stefano Pigola, Alberto G. Setti, Marco Rigoli. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Basel : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture | 2008. |
| 300 ## - | |
| -- | XIV, 282 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 266 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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 #0 - | |
| -- | Global differential geometry. |
| 650 #0 - | |
| -- | Global analysis. |
| 650 #0 - | |
| -- | Global analysis (Mathematics). |
| 650 14 - | |
| -- | Differential Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
| 650 24 - | |
| -- | Global Analysis and Analysis on Manifolds. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12082 |
| 650 24 - | |
| -- | Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 700 1# - | |
| -- | Setti, Alberto G. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Rigoli, Marco. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764392413 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764386412 |
| 830 #0 - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 266 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-7643-8642-9 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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