The Gauss-Bonnet-Chern mass for graphic manifolds

Abstract

In this paper, we prove a positive mass theorem and Penrose-type inequality of the Gauss-Bonnet-Chern mass $m_2$ for the graphic manifold with flat normal bundle.

18 pages. arXiv admin note: text overlap with arXiv:1304.3504 by other authors

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Cited by in corpus (3)

• A Penrose inequality for asymptotically locally hyperbolic graphs
• The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
• Extrinsic black hole uniqueness in pure Lovelock gravity