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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

8 votes

A survey on positive mass theorem?

H. Bray's articles "Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity" (Notices AMS, 2002) contains a very short, but elegant, survey of the positive mass theorem. He also …
3 votes

Smoothing of the distance function on a Riemannian manifold

EDIT: this doesn't work (see Sergei's comment). If you're worried about a distance function instead of a general Lipschitz function, I think the following construction also works, and even gives you …
Peter Smillie's user avatar