Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
Differential Geometry
2025-03-26 v1
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
Cite
@article{arxiv.2503.19254,
title = {Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay},
author = {Tian Chong and Han Luo and Lingen Lu},
journal= {arXiv preprint arXiv:2503.19254},
year = {2025}
}
Comments
All comments are welcome!