Detailansicht
Vanishing and Finiteness Results in Geometric Analysis
eBook - A Generalization of the Bochner Technique, Progress in Mathematics
ISBN/EAN: 9783764386429
Umbreit-Nr.: 1721103
Sprache:
Englisch
Umfang: 282 S., 1.88 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 28.05.2008
Auflage: 1/2008
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- <P>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.</P>
- Kurztext
- <P>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 Kähler manifolds.</P>