Calculus of Variations and Geometric Measure Theory
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R. Buzano - H. T. Nguyen

The higher-dimensional Chern-Gauss-Bonnet formula for singular conformally flat manifolds

created by muller on 12 Jun 2018



Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2017

ArXiv: 1703.05723 PDF


In a previous article, we generalised the classical four-dimensional Chern-Gauss-Bonnet formula to a class of manifolds with finitely many conformally flat ends and singular points, in particular obtaining the first such formula in a dimension higher than two which allows the underlying manifold to have isolated conical singularities. In the present article, we extend this result to all even dimensions $n\geq 4$ in the case of a class of conformally flat manifolds.

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