H-surfaces in Lorentzian manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1983 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 89, pages 523-553 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Gerhardt, Claus;

doi: 10.1007/bf01214742

H-surfaces in Lorentzian manifolds

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Abstract

We consider surfaces of prescribed mean curvature in a Lorentzian manifold and show the existence of a foliation by surfaces of constant mean curvature.

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Keywords

acausal surface, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, General relativity, space- like hypersurface, 53C50, Global submanifolds, H-surfaces, 53C42, Applications of global differential geometry to the sciences, prescribed bounded mean curvature

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