Extrinsic Bonnet-Myers Theorem and almost rigidity

Published 8 May 2024 in math.DG and math.MG | (2405.04822v2)

Abstract: We establish the extrinsic Bonnet-Myers Theorem for compact Riemannian manifolds with positive Ricci curvature. And we show the almost rigidity for compact hypersurfaces, which have positive sectional curvature and almost maximal extrinsic diameter in Euclidean space.

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