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arXiv · 1409.5741

The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature

Jing Mao
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Abstract

We prove that $n$-dimensional ($n\geqslant3$) complete and non-compact metric measure spaces with non-negative weighted Ricci curvature in which some Caffarelli-Kohn-Nirenberg type inequality holds are close to the model metric measure $n$-space (i.e., the Euclidean metric $n$-space).

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Jing Mao. 2014-09-19. The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature. https://arxiv.org/abs/1409.5741

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