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For questions about mathematical problems arising from general relativity, the branch of physics which provides and studies the currently accepted geometric description of gravity.

17 votes
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What results are immediately generalised to higher dimensions, in light of Schoen and Yau's ...

I know two applications: a) The convergence of the Yamabe flow in dimension 6 and higher Simon Brendle, Invent. math. 170, 541–576 (2007) DOI: 10.1007/s00222-007-0074-x b) Solution of the equivariant …
Bernd Ammann's user avatar
5 votes

What results are immediately generalised to higher dimensions, in light of Schoen and Yau's ...

The progress of Schoen and Yau also allows to generalize many statements previously known only for spin manifolds to non-spin manifolds. See e.g. a preprint by Thomas Schick and Simone Cecchini, arXiv …
Bernd Ammann's user avatar