A NOTE ON SPACELIKE HYPERSURFACES WITH PRESCRIBED MEAN CURVATURE IN A SPATIALLY CLOSED GLOBALLY STATIC LORENTZIAN MANIFOLD
نویسندگان
چکیده
منابع مشابه
Hypersurfaces of Prescribed Mean Curvature in Lorentzian Manifolds
We give a new existence proof for closed hypersurfaces of prescribed mean curvature in Lorentzian manifolds.
متن کاملHypersurfaces of Prescribed Curvature in Lorentzian Manifolds
The existence of closed hypersurfaces of prescribed curvature in globally hyperbolic Lorentzian manifolds is proved provided there are barriers.
متن کاملEntire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
which gives an isometric embedding of the hyperbolic space H into R. Hano and Nomizu [11] were probably the first to observe the non-uniqueness of isometric embeddings of H in R by constructing other (geometrically distinct) entire solutions of (1.1)–(1.2) for n 1⁄4 2 (and c1 1) using methods of ordinary di¤erential equations. Using the theory of Monge-Ampère equations, A.-M. Li [12] studied en...
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ژورنال
عنوان ژورنال: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
سال: 1986
ISSN: 0373-6385
DOI: 10.2206/kyushumfs.40.119