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

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 $n\ge 4$ in the case of a class of conformally flat manifolds.

27 pages

References in corpus (3)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• An Upper Bound of the Total Q-Curvature and Its Isoperimetric Deficit for Higher-dimensional Conformal Euclidean Metrics
• The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds

Cited by in corpus (3)

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