The Schläfli formula in Einstein manifolds with boundary

DOI10.1090/S1079-6762-99-00057-8zbMath0910.53036OpenAlexW2100819022WikidataQ126194118 ScholiaQ126194118MaRDI QIDQ4235493

Igor Rivin, Jean-Marc Schlenker

Publication date: 22 March 1999

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233527

zbMATH Keywords

rigidityvanishing theoremsisometric deformationsSchläfli formulanull spacesvariation of volumevariation of mean curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Volume increasing isometric deformations of convex polyhedra
• Existence of metrics with prescribed Ricci curvature: Local theory
• Einstein metrics with prescribed conformal infinity on the ball
• A counterexample to the rigidity conjecture for polyhedra
• A Schläfli-type formula for convex cores of hyperbolic \(3\)-manifolds
• The Schläfli formula in Einstein manifolds with boundary
• The Weyl and Minkowski problems in differential geometry in the large

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