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Non-scale-invariant inverse curvature flows in hyperbolic space

Scheuer, Julian

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We consider inverse curvature flows in hyperbolic space H^(n+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 sphere.

Item Type: Dissertation
Supervisor: Gerhardt, Prof. Dr. Claus
Date of thesis defense: 8 February 2013
Date Deposited: 06 Mar 2013 13:28
Date: 4 October 2012
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Differentialgeometrie, Partielle Differentialgleichung
Additional Information: Zusätzlich erschienen in: Springer, Calculus of Variations and Partial Differential Equations, 2014.
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