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Minkowski inequalities and constrained inverse curvature flows in warped spaces

Scheuer, Julian 2020. Minkowski inequalities and constrained inverse curvature flows in warped spaces. Advances in Calculus of Variations 10.1515/acv-2020-0050
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This paper deals with locally constrained inverse curvature flows in a broad class of Riemannian warped spaces. For a certain class of such flows we prove long time existence and smooth convergence to a radial coordinate slice. In the case of two-dimensional surfaces and a suitable speed, these flows enjoy two monotone quantities. In such cases new Minkowski type inequalities are the consequence. In higher dimensions we use the inverse mean curvature flow to obtain new Minkowski inequalities when the ambient radial Ricci curvature is constantly negative.

Item Type: Article
Date Type: Published Online
Status: In Press
Schools: Mathematics
Publisher: De Gruyter
ISSN: 1864-8258
Date of First Compliant Deposit: 14 October 2020
Date of Acceptance: 6 October 2020
Last Modified: 26 Nov 2020 06:02

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