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

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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https://arxiv.org/abs/1703.05723
Chern–Gauss–Bonnet; Conformal metrics; Conical singularities; Integral estimates; Q-curvature; Geometry and Topology
Buzano, Reto; Nguyen, Huy The
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1701050
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