arXiv:2007.07564 Abstract | arXiv Analytics

arXiv:2007.07564 [math.DG]Abstract References Reviews Resources

The Gauss-Bonnet-Chern Center of Mass for Asymptotically Flat Manifolds

Published 2020-07-15Version 1

In this paper we introduce a family of center of masses that complement the definition of the family of Gauss-Bonnet-Chern masses by Ge-Wang-Wu and Li-Nguyen. In order to prove the existence and the well-definedness of the center of mass, we use the formalism of double forms of Kulkarni and Labbi. This allows for transparent conceptual proofs, which apply to all known cases of asymptotic invariants of asymptotically flat manifolds.

Categories: math.DG, gr-qc

Keywords: asymptotically flat manifolds, gauss-bonnet-chern center, transparent conceptual proofs, asymptotic invariants, ge-wang-wu

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