Isometric embeddings of 2-spheres into Schwarzschild manifolds

DOI10.1007/s00229-015-0782-2zbMath1336.53049OpenAlexW1448315034MaRDI QIDQ5965201

Armando J. Cabrera Pacheco, Pengzi Miao

Publication date: 2 March 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-015-0782-2

zbMATH Keywords

isometric embedding2-sphereconformally flat spaceSchwarzschild manifold

Mathematics Subject Classification ID

General relativity (83C99) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass

Cites Work

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• Isometric embeddings into the Minkowski space and new quasi-local mass
• Large-sphere and small-sphere limits of the Brown-York mass
• On the behavior of quasi-local mass at the infinity along nearly round surfaces
• On Isometric Embeddings into Anti-de Sitter Spacetimes
• The Weyl and Minkowski problems in differential geometry in the large

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