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Results tagged with geometric-analysis
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user 39082
6
votes
Non-compact manifolds of positive/non-negative Ricci curvature
Take an n-sphere with its standard metric of positive curvature, cut out an n-ball and reglue it by a diffeomorphism of the bounding n-1-sphere. If the diffeomorphism is not isotopic to the identity, …
- 10.4k
14
votes
Continuous deformation of soap films
You are asking whether a least area surface depends continuously on its boundary curve, or in mathematical terms: whether for every curve $\gamma$ there exists a least area surface $S$ with $\partial …
- 10.4k