Timeline for Set of regular points in an Alexandrov space with curvature bounded below
Current License: CC BY-SA 3.0
4 events
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| Aug 30, 2015 at 15:31 | comment | added | Anton Petrunin | @sva, yes, semiconcave functions on Alexandrov space have well defined Hessian almost everywhere (4.4 in math.psu.edu/petrunin/papers/alexandrov/Cstructure.pdf). | |
| Aug 30, 2015 at 15:22 | comment | added | asv | Thanks very much for exhaustive answer! Your last sentence intrigued me. For convex functions there is Alexandrov's theorem that such a function almost everywhere has second derivative. Does it generalize to Alexandrov spaces? E.g. can one define the Riemann curvature tensor almost everywhere? (Should I formulate this in a separate question?) | |
| Aug 30, 2015 at 15:11 | vote | accept | asv | ||
| Aug 30, 2015 at 14:32 | history | answered | Anton Petrunin | CC BY-SA 3.0 |