1. CMB 2011 (vol 55 pp. 632)
|Characterizations of Model Manifolds by Means of Certain Differential Systems|
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. Along the way, we also discover new characterizations of space-forms. We next generalize results concerning metric rigidity via equations involving vector fields.
Keywords:metric rigidity, model manifolds, Obata's type theorems