Trudinger-Moser embedding on the hyperbolic space
Differential Geometry
2013-06-05 v1
Abstract
In [16], we established Trudinger-Moser inequalities for complete noncompact Riemannian manifold on which the Ricci curvature has lower bound and the injectivity radius is strictly positive. In this note, we improve those inequalties when the manifold is the hyperbolic space. The method we used here is still gluing local estimates.
Cite
@article{arxiv.1306.0822,
title = {Trudinger-Moser embedding on the hyperbolic space},
author = {Yunyan Yang and Xiaobao Zhu},
journal= {arXiv preprint arXiv:1306.0822},
year = {2013}
}
Comments
6 pages