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arXiv · 0712.1754

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

Cheikh Birahim Ndiaye·Jie Xiao
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Abstract

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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Cheikh Birahim Ndiaye, Jie Xiao. 2009-10-09. An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics. https://doi.org/10.1007/s00526-009-0276-8

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