Open Access
November 2014 On the evolution of hypersurfaces by their inverse null mean curvature
Kristen Moore
J. Differential Geom. 98(3): 425-466 (November 2014). DOI: 10.4310/jdg/1406552277


We introduce a new geometric evolution equation for hypersurfaces in asymptotically flat spacetime initial data sets, that unites the theory of marginally outer trapped surfaces (MOTS) with the study of inverse mean curvature flow. A theory of weak solutions is developed using level-set methods and an appropriate variational principle. This new flow has a natural application as a variational-type approach to constructing MOTS, and this work also gives new insights into the theory of weak solutions of the inverse mean curvature flow.


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Kristen Moore. "On the evolution of hypersurfaces by their inverse null mean curvature." J. Differential Geom. 98 (3) 425 - 466, November 2014.


Published: November 2014
First available in Project Euclid: 28 July 2014

zbMATH: 1305.33006
MathSciNet: MR3263523
Digital Object Identifier: 10.4310/jdg/1406552277

Rights: Copyright © 2014 Lehigh University

Vol.98 • No. 3 • November 2014
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