Inequalities for quermassintegrals on k-convex domains
Author(s): Chang, Sun-Yung A.; Wang, Yi
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http://arks.princeton.edu/ark:/88435/pr1073m| 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. (c) 2013 Elsevier Inc. All rights reserved. |
| Publication Date: | 25-Nov-2013 |
| Electronic Publication Date: | 4-Sep-2013 |
| Citation: | Chang, Sun-Yung Alice, Wang, Yi. (2013). Inequalities for quermassintegrals on k-convex domains. ADVANCES IN MATHEMATICS, 248 (335 - 377. doi:10.1016/j.aim.2013.08.006 |
| DOI: | doi:10.1016/j.aim.2013.08.006 |
| ISSN: | 0001-8708 |
| EISSN: | 1090-2082 |
| Pages: | 335 - 377 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | ADVANCES IN MATHEMATICS |
| Version: | Author's manuscript |
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