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Laurent Mazet

Works on minimal & CMC surfaces, ancient solutions and stability & uniqueness.

NP-RC-394762

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2020

math.DGWider flowsv3arXiv:2010.01994

Rigidity of riemannian manifolds containing an equator

Laurent Mazet

In this paper, we prove that a Riemannian -manifold with sectional curvature bounded above by that contains a minimal -sphere of area which has index at least has constant sectional curvature . The proof uses the construction of ancient mean curvature flows that flow out of a minimal submanifold. As a consequence we also prove a rigidity result for the Simon-Smith minimal spheres.

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