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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Official URL: http://dx.doi.org/10.1016/j.jfa.2018.08.021
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: | 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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