Rigidity of compact manifolds and positivity of quasi-local mass

Details Rigidity of compact manifolds and positivity of quasi-local mass Rigidity of compact manifolds and positivity of quasi-local mass

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24.2357s&link_type=abstract

Classical and Quantum Gravity, Volume 24, Issue 9, pp. 2357-2366 (2007).

Computer Science

3

Scientific paper

In this paper, we obtain some rigidity theorems on compact manifolds with nonempty boundary. The results may be related to the positivity of some quasi-local mass of Brown York type. The main argument is to use monotonicity of quantities similar to the Brown York quasi-local mass in a foliation of quasi-spherical metrics. Together with a hyperbolic version of positivity of a mass quantity, we obtain our main results.

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