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Isoperimetric profile function comparisons with Integral Ricci curvature bounds

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arxiv 2403.15973 v1 pith:D5MNWG2I submitted 2024-03-24 math.DG

Jihye Lee , Fabio Ricci This is my paper · ORCID
classification math.DG
keywords boundscurvaturericcifunctionintegralisoperimetricprofilebayle
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We prove comparison results for the Isoperimetric profile function in the setting of manifolds with integral bounds on the Ricci curvature. We extend previous work of Ni and Wang and Bayle and Rosales under the usual pointwise bounds for the Ricci curvature.

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  1. A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds

    math.DG 2025-08 conditional novelty 6.0 of 10

    For bounded domains in complete non-compact manifolds, Willmore-type inequalities hold under asymptotic or Lp Ricci curvature bounds, recovering the pointwise Jin-Yin theorem as a limit.

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