Regularity of convex surfaces with definite metrics in three-dimensional pseudo-Euclidean space

DOI10.1007/BF01091826zbMath0438.53008MaRDI QIDQ1141924

Dmitry D. Sokoloff

Publication date: 1980

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

pseudo-Euclidean spaceconvex surfacesconvex cap

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local differential geometry of Hermitian and Kählerian structures (53B35) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• Über die Differentialungleichung \(0<\alpha \leqq rt-s^2 \leqq \beta< \infty\)
• On elliptic Monge-Ampère equations and Weyl's embedding problem
• Totally regular isometric immersions in euclidean space
• Imbedding of pseudo-Riemannian manifolds in a pseudo-Euclidean space
• \(C^1\) isometric imbeddings
• Isometric embeddings

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