The Schläfli formula in Einstein manifolds with boundary
نویسندگان
چکیده
منابع مشابه
The Schläfli Formula in Einstein Manifolds with Boundary
We give a smooth analogue of the classical Schläfli formula, relating the variation of the volume bounded by a hypersurface moving in a general Einstein manifold and the integral of the variation of the mean curvature. We extend it to variations of the metric in a Riemannian Einstein manifold with boundary, and apply it to Einstein cone-manifolds, to isometric deformations of Euclidean hypersur...
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The celebrated formula of Schll aai relates the variation of the dihedral angles of a smooth family of polyhedra in a space form and the variation of volume. We give a smooth analogue of this classical formula { our result relates the variation of the volume bounded by a hypersurface moving in a general Einstein manifold and the integral of the variation of the mean curvature. The argument is d...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 1999
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-99-00057-8