Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

PDF - Accepted Post-Print Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (470kB) | Preview


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

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics