Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495416 | Journal of Functional Analysis | 2005 | 38 Pages |
Abstract
A general Liouville-type result and a corresponding vanishing theorem are proved under minimal regularity assumptions. The latter is then applied to conformal deformations of stable minimal hypersurfaces, to the L2 cohomology of complete manifolds, to harmonic maps under various geometric assumptions, and to the topology of submanifolds of Cartan-Hadamard spaces with controlled extrinsic geometry.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stefano Pigola, Marco Rigoli, Alberto G. Setti,