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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: http://hdl.handle.net/11858/00-001M-0000-0013-6282-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6283-8
Genre: Paper

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0712.1754v1.pdf (Preprint), 253KB
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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, escidoc:24012              
2External Organizations, , , escidoc: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: 2009-10-092007-12-11
 Publication Status: Submitted
 Pages: 23
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 Table of Contents: -
 Rev. Method: -
 Identifiers: URI: arXiv:0712.1754
eDoc: 346498
 Degree: -

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