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Vanishing and Finiteness Results in Geometric Analysis
Pigola, Stefano; Rigoli, Marco; Setti, Alberto G.
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Description for Vanishing and Finiteness Results in Geometric Analysis
Hardback. This book details very recent results in geometric analysis. 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 Kahler manifolds. Series: Progress in Mathematics. Num Pages: 282 pages, biography. BIC Classification: PBM. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 597.
This book describes 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.
This book describes 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.
Product Details
Format
Hardback
Publication date
2008
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
282
Condition
New
Series
Progress in Mathematics
Number of Pages
282
Place of Publication
Basel, Switzerland
ISBN
9783764386412
SKU
V9783764386412
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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