Mathematisches Institut Universität Tübingen
Preprints AB Analysis


Michael Holder

Contracting Spacelike Hypersurfaces by their Inverse Mean Curvature

Report Nr. 57 of the Sonderforschungsbereich 382

Abstract:

In this work we study the behaveiour of compact, smooth, orientable hypersurfaces without boundary, which are immersed in cosmological spacetimes and move under the invers mean curvature flow. We proof that a solution of the corresponding nonlinear parabolic system of partial differential equations exists as long as the hypersurface stays in a smooth and compakt region of the cosmological spacetime.

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