Timeline for Area lower bound given a mean curvature upper bound?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 28, 2019 at 2:37 | history | edited | Nobody | CC BY-SA 4.0 |
added 7 characters in body
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| Oct 27, 2019 at 19:08 | comment | added | RBega2 | This bound was also shown (in Euclidean space) by Almgren in his paper "Optimal Isoperimetric Inequalities" (Almgren calls it the Area-mean curvature characterization of standard spheres). His argument actually works for any codimension and so should also give the result you asked about in spheres (by embedding the ambient sphere into euclidean space). I'm not sure what happens in hyperbolic space. | |
| Oct 27, 2019 at 16:35 | review | First posts | |||
| Oct 27, 2019 at 16:42 | |||||
| Oct 27, 2019 at 16:31 | history | asked | Nobody | CC BY-SA 4.0 |