Isoperimetric inequality, finite total Q-curvature and quasiconformal map
Differential Geometry
2010-04-05 v1
Abstract
In this paper, we obtain the isoperimetric inequality on conformally flat manifold with finite total -curvature. This is a higher dimensional analogue of Li and Tam's result \cite{L-T} on surfaces with finite total Gaussian curvature. The main step in the proof is based on the construction of a quasiconformal map whose Jacobian is suitably bounded.
Keywords
Cite
@article{arxiv.1004.0271,
title = {Isoperimetric inequality, finite total Q-curvature and quasiconformal map},
author = {Yi Wang},
journal= {arXiv preprint arXiv:1004.0271},
year = {2010}
}
Comments
24 pages, 1 figure