Inverse curvature flows in Riemannian warped products

Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 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 Nov 2024 05:00
URI:	https://orca.cardiff.ac.uk/id/eprint/135466

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