Classification of manifolds with weakly 1/4-pinched curvatures
Abstract
We show that a compact Riemannian manifold with weakly 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2007
- DOI:
- 10.48550/arXiv.0705.3963
- arXiv:
- arXiv:0705.3963
- Bibcode:
- 2007arXiv0705.3963B
- Keywords:
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- Mathematics - Differential Geometry
- E-Print:
- Final version