Non-scale-invariant inverse curvature flows in hyperbolic space

Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 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:	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:	14 Nov 2024 00:45
URI:	https://orca.cardiff.ac.uk/id/eprint/134639

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