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Inverse curvature flows in Riemannian warped products

Scheuer, Julian 2019. Inverse curvature flows in Riemannian warped products. Journal of Functional Analysis 276 (4) , pp. 1097-1144. 10.1016/j.jfa.2018.08.021

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Abstract

The long-time existence and umbilicity estimates for compact, graphical solutions to expanding curvature flows are deduced in Riemannian warped products of a real interval with a compact fibre. Notably we do not assume the ambient manifold to be rotationally symmetric, nor the radial curvature to converge, nor a lower bound on the ambient sectional curvature. The inverse speeds are given by powers of a curvature function satisfying few common properties.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Elsevier
ISSN: 0022-1236
Date of First Compliant Deposit: 8 October 2020
Date of Acceptance: 30 August 2018
Last Modified: 25 Jan 2021 13:41
URI: http://orca.cf.ac.uk/id/eprint/135466

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