Metrics of positive Ricci curvature on vector bundles over nilmanifolds |
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| Authors: | I Belegradek G Wei |
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| Institution: | (1) Department of Mathematics, 253-37, California Institute of Technology, Pasadena, CA 91125, USA, e-mail: ibeleg@its.caltech.edu, US;(2) Department of Mathematics, University of California Santa Barbara, Santa Barbara, CA 93106, USA, e-mail: wei@math.ucsb.edu, US |
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| Abstract: | We construct metrics of positive Ricci curvature on some vector bundles over tori (or more generally, over nilmanifolds).
This gives rise to the first examples of manifolds with positive Ricci curvature which are homotopy equivalent but not homeomorphic
to manifolds of non-negative sectional curvature.
Submitted: January 2001, Revised: June 2001. |
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