Classification of manifolds with weakly 1/4-pinched curvatures

Details Classification of manifolds with weakly 1/4-pinched curvatures Classification of manifolds with weakly 1/4-pinched curvatures

2007-05-27

arxiv.org/abs/0705.3963v3

Acta Math. 200, 1--13 (2008)

Mathematics

Differential Geometry

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Scientific paper

We show that a compact Riemannian manifold with weakly 1/4-pinched sectional
curvatures is either locally symmetric or diffeomorphic to a space form.

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