Arxiv
| Presentation Name： | Prescribing logarithmic capacity on convex bodies |
|---|---|
| Presenter： | Prof. Jie XIAO |
| Date： | 2011-12-22 |
| Location： | 光华东主楼1801 |
| Abstract🤜🏼： | Let D be a convex body in R^n. The Gauss map g: /partial D -> S^{n-1} is determined by g(x)=v, the outer unit normal at x in /partial D. The classic Minkowski problem asks for which measure dm on (S^{n-1},ds) one can find a convex body D such that g_*(ds)=dm. This talk is to discuss the similar problem with a measure induced by the logarithmic capacity in place of surface measure. |
| Annual Speech Directory👋🏼： | No.134 |
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