Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature
Differential Geometry
2024-09-24 v1
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.
Keywords
Cite
@article{arxiv.2409.14529,
title = {Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature},
author = {Jie Wang},
journal= {arXiv preprint arXiv:2409.14529},
year = {2024}
}
Comments
14 pages