Classification of Almost Quarter-Pinched Manifolds

Peter Petersen , Terence Tao

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classification 🧮 math.DG

keywords almostclassificationcompactconnectedcrossdiffeomorphicmanifoldmanifolds

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We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.

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Classification of Almost Quarter-Pinched Manifolds

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