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Non-scale-invariant inverse curvature flows in hyperbolic space

Scheuer, Julian 2015. Non-scale-invariant inverse curvature flows in hyperbolic space. Calculus of Variations and Partial Differential Equations 53 (1-2) , pp. 91-123. 10.1007/s00526-014-0742-9

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Abstract

We consider inverse curvature flows in hyperbolic space Hn+1 with starshaped initial hypersurface, driven by positive powers of a homogeneous curvature function. The solutions exist for all time and, after rescaling, converge to a geodesic sphere.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer Verlag
ISSN: 0944-2669
Funders: Deutsche Forschungsgemeinschaft (German Research Foundation, DFG)
Date of First Compliant Deposit: 3 September 2020
Date of Acceptance: 22 May 2014
Last Modified: 08 Feb 2021 12:18
URI: http://orca.cf.ac.uk/id/eprint/134639

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