Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

2025/03/25 by Chong, Tian, Luo, Han, Lu, Lingen · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.19254

Abstract

By using the ABP method developed by Cabré and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower quadratic curvature decay

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• Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature

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