Characterizations of model manifolds by means of certain differential systems
Differential Geometry
2009-03-06 v1
Abstract
We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of space-forms. In the route, we also discover new characterizations of space-forms. We next generalize results concerning metric rigidity via equations involving vector fields.
Keywords
Cite
@article{arxiv.0903.1052,
title = {Characterizations of model manifolds by means of certain differential systems},
author = {Stefano Pigola and Michele Rimoldi},
journal= {arXiv preprint arXiv:0903.1052},
year = {2009}
}