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Vanishing theorems on Riemannian manifolds, and geometric applications by Stefano Pigola; Marco Rigoli; Alberto G. Setti is a Mathematics article available to read on EtoBox.

What is Vanishing theorems on Riemannian manifolds, and geometric applications about?

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 L 2 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.

Who reads Vanishing theorems on Riemannian manifolds, and geometric applications?

Author

Stefano Pigola; Marco Rigoli; Alberto G. Setti

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)

Published

2005

Language

EN

Field

Mathematics (Physical Sciences)