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Characterizations of Model Manifolds by Means of Certain Differential Systems
Published online by Cambridge University Press: 20 November 2018
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. Along the way, we also discover new characterizations of space-forms. We next generalize results concerning metric rigidity via equations involving vector fields.
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- Copyright © Canadian Mathematical Society 2012
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