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Results tagged with geometric-analysis
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user 1345
8
votes
Accepted
Finding constant curvature metrics on surfaces for the case of positive Euler characteristic
If you like the case $K=-1$ better, one way to do this is to choose 3 points $\{x,y,z\} \subset S^2$, and use the uniformization theorem to find a complete conformally equivalent metric on $P=S^2-\{x, …
- 68.9k
6
votes
Accepted
Ricci flow proof of isoperimetric inequality
Anthony Manning proved that the volume entropy decreases under volume normalized Ricci flow on surfaces of negative curvature. Question 4 at the end of his paper asks whether the Cheeger isoperimetric …
- 68.9k