Toward Gauss-Bonnet-Chern Inequalities and Isoperimetric Deficits for Conformal 
Metrics on $\mathbb R^n, n\ge 3$

Ndiaye, Cheikh Birahim; Xiao, Jie

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Toward Gauss-Bonnet-Chern Inequalities and Isoperimetric Deficits for Conformal Metrics on $\mathbb R^n, n\ge 3$

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Ndiaye, Cheikh Birahim
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0712.1754v1.pdf
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Citation

Ndiaye, C. B., & Xiao, J. (submitted). Toward Gauss-Bonnet-Chern Inequalities and Isoperimetric Deficits for Conformal Metrics on $\mathbb R^n, n\ge 3$.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6282-A

Abstract

The aim of this paper is to establish the Gauss-Bonnet-Chern integral inequalities and isoperimetric deficit formulas for complete conformal metrics on $\mathbb R^n$, $n\ge 3$ with scalar curvature being nonnegative near infinity and Q-curvature being absolutely convergent.