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≥4 in the case of a class of conformally flat manifolds.
The Higher-Dimensional Chern–Gauss–Bonnet Formula for Singular Conformally Flat Manifolds
Buzano, Reto;
2019-01-01
Abstract
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≥4 in the case of a class of conformally flat manifolds.
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