Locally constrained inverse curvature flows

Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 and Xia, Chao 2019. Locally constrained inverse curvature flows. Transactions of the American Mathematical Society 372 (10) , pp. 6771-6803. 10.1090/tran/7949 Item availability restricted.

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Abstract

We consider inverse curvature flows in warped product manifolds, which are constrained subject to local terms of lower order--namely, the radial coordinate and the generalized support function. Under various assumptions we prove longtime existence and smooth convergence to a coordinate slice. We apply this result to deduce a new Minkowski-type inequality in the anti-de Sitter Schwarzschild manifolds and a weighted isoperimetric-type inequality in hyperbolic space.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	0002-9947
Funders:	Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
Date of First Compliant Deposit:	8 October 2020
Date of Acceptance:	10 July 2019
Last Modified:	13 Nov 2024 21:00
URI:	https://orca.cardiff.ac.uk/id/eprint/135469

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