Isoperimetric inequality, finite total Q-curvature and quasiconformal map

Details Isoperimetric inequality, finite total Q-curvature and quasiconformal map Isoperimetric inequality, finite total Q-curvature and quasiconformal map

2010-04-02

arxiv.org/abs/1004.0271v1

Mathematics

Differential Geometry

24 pages, 1 figure

Scientific paper

In this paper, we obtain the isoperimetric inequality on conformally flat
manifold with finite total $Q$-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.

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