Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665962 | Advances in Mathematics | 2013 | 43 Pages |
Abstract
In this paper, we study the Aleksandrov–Fenchel inequalities for quermassintegrals on a class of non-convex domains. Our proof uses optimal transport maps as a tool to relate curvature quantities of different orders defined on the boundary of the domain.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sun-Yung Alice Chang, Yi Wang,