Some results on surface theory in the large

DOI10.1016/0001-8708(65)90039-3zbMath0129.35702OpenAlexW2080171919MaRDI QIDQ2394968

A. V. Pogorelov

Publication date: 1964

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(65)90039-3

zbMATH Keywords

Riemannian manifolds

Related Items (14)

On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds ⋮ Capacity, quasi-local mass, and singular fill-ins ⋮ Positivity of quasi-local mass II ⋮ Uniqueness of isometric immersions with the same mean curvature ⋮ Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds ⋮ Curvature estimates for immersed hypersurfaces in Riemannian manifolds ⋮ The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon ^* ⋮ Total mean curvature, scalar curvature, and a variational analog of Brown-York mass ⋮ Quasi-local mass integrals and the total mass ⋮ A quasi-local mass for 2-spheres with negative Gauss curvature ⋮ A-priori-Abschätzungen für isometrische Einbettungen zweidimensionaler Riemannscher Mannigfaltigkeiten in dreidimensionale Riemannsche Räume ⋮ The Weyl problem of isometric immersions revisited ⋮ A priori estimates for solutions of Monge-Ampère equations ⋮ A holographic principle for the existence of imaginary Killing spinors

Cites Work

• Neue a-priori-Abschätzungen für den Ortsvektor einer Fläche positiver Gaußscher Krümmung durch ihr Linienelement
• Über die Differentialungleichung \(0<\alpha \leqq rt-s^2 \leqq \beta< \infty\)
• On nonlinear elliptic partial differential equations and hölder continuity
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