Journal of Differential Geometry
- J. Differential Geom.
- Volume 98, Number 3 (2014), 425-466.
On the evolution of hypersurfaces by their inverse null mean curvature
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.
J. Differential Geom., Volume 98, Number 3 (2014), 425-466.
First available in Project Euclid: 28 July 2014
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Moore, Kristen. On the evolution of hypersurfaces by their inverse null mean curvature. J. Differential Geom. 98 (2014), no. 3, 425--466. doi:10.4310/jdg/1406552277. https://projecteuclid.org/euclid.jdg/1406552277