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 $\mathbb R^n, n\ge 3$

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

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-6282-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-6283-8

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Creators:
Ndiaye, Cheikh Birahim¹, Author
Xiao, Jie², Author

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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012
2External Organizations, , , ou_persistent22

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Free keywords: math.DG math.MG

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.

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Dates: Modified: 2009-10-09Submitted: 2007-12-11

Publication Status: Submitted

Pages: 23

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Identifiers: URI: arXiv:0712.1754
eDoc: 346498

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