Bryan, Paul, Ivaki, Mohammad N. and Scheuer, Julian
2020.
Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds.
Journal für die reine und angewandte Mathematik
2020
(764)
, pp. 71-109.
10.1515/crelle-2019-0006
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Official URL: http://dx.doi.org/10.1515/crelle-2019-0006
Abstract
We obtain Harnack estimates for a class of curvature flows in Riemannian manifolds of constant nonnegative sectional curvature as well as in the Lorentzian Minkowski and de Sitter spaces. Furthermore, we prove a Harnack estimate with a bonus term for mean curvature flow in locally symmetric Riemannian Einstein manifolds of nonnegative sectional curvature. Using a concept of “duality” for strictly convex hypersurfaces, we also obtain a new type of inequality, so-called “pseudo”-Harnack inequality, for expanding flows in the sphere and in the hyperbolic space.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Publisher: | De Gruyter |
ISSN: | 0075-4102 |
Date of First Compliant Deposit: | 21 April 2020 |
Date of Acceptance: | 18 April 2019 |
Last Modified: | 07 Jan 2021 12:30 |
URI: | http://orca.cf.ac.uk/id/eprint/131157 |
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