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Results tagged with geometric-analysis
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user 110127
17
votes
Accepted
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 …
- 829
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 …
- 829
12
votes
Accepted
Is there a solution of the Yamabe problem using Ricci flow?
The references provided by Carlo Beenakker solve the problem only in special cases. The article "Global existence and convergence of Yamabe flow" by R. Ye assumes -- for example -- conformal flatness. …
- 829