An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics

Details An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics

2007-12-11

arxiv.org/abs/0712.1754v3

Mathematics

Differential Geometry

Scientific paper

10.1007/s00526-009-0276-8

The aim of this paper is to give not only an explicit upper bound of the
total Q-curvature but also an induced isoperimetric deficit formula for the
complete conformal metrics on $\mathbb R^n$, $n\ge 3$ with scalar curvature
being nonnegative near infinity and Q-curvature being absolutely convergent.

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