Lower bounds for contraction constants of non-zero degree mappings onto the sphere |
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| Institution: | 1. Dipartimento di Matematica, Università degli Studi di Roma “Tor Vergata”, 00133 Roma, Italy;2. Department of Mathematics, William Paterson University, Wayne, NJ 07470, USA |
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| Abstract: | This paper studies contraction constants of non-zero degree mappings from compact spin Riemannian manifolds onto the standard Riemannian sphere. Assuming uniform lower bound for the scalar curvature, we find a sharp lower bound for the dilation constants in terms of the dimension of the sphere. In the best case, we prove rigidity |
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