Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature

Jie Wang

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arXiv · 2409.14529

Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature

Jie Wang

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Abstract

By applying the ABP method, we establish both Log Sobolev type inequality and Michael Simon Sobolev inequality for smooth symmetric uniformly positive definite (0,2) tensor fields in manifolds with nonnegative sectional curvature.

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Jie Wang. 2024-09-22. Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature. https://arxiv.org/abs/2409.14529

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