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arXiv · 2503.19254

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

Tian Chong·Han Luo·Lingen Lu
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Abstract

By using the ABP method developed by Cabr\'e 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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Tian Chong, Han Luo, Lingen Lu. 2025-03-25. Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay. https://arxiv.org/abs/2503.19254

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