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Wolfgang Maurer

Doctoral student


Universität Konstanz

E-mail: wolfgang.maurer(at)uni-konstanz.de
Telephone: +49 7531 88 2861
Homepage: http://www.math.uni-konstanz.de/~maurer/

Project

29Curvature flows without singularities

Publications within SPP2026

 We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M×R, where M is asymptotically flat. If the initial hypersurface F⊂M×R is uniformly spacelike and asymptotic to M×{s} for some s∈R at infinity, we show that the mean curvature flow starting at F0 exists for all times and converges uniformly to M×{s} as t→∞.

 

Journalrecently accepted for publication at Journal of Geometric Analysis
Link to preprint version

Related project(s):
23Spectral geometry, index theory and geometric flows on singular spaces

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