Conformally-flat metrics and pseudo-Euclidean geometry

DOI10.1007/BF02104826zbMath0853.53009MaRDI QIDQ1920781

V. V. Slavskiĭ

Publication date: 9 January 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

spherehypersurfacesectional curvatureprincipal curvatureLobachevskij spacemetric of constant curvaturepolar conformally flat metric

Mathematics Subject Classification ID

Related Items (5)

Conformal development of a curve in a Riemannian space into a Minkowski space ⋮ Polar Transform of Conformally Flat Metrics ⋮ Generalized Legendre transform of conformally flat metrics ⋮ Conformally flat Lorentzian manifolds with special holonomy groups ⋮ Geometry of homogeneous Riemannian manifolds

Cites Work

• Isometric immersions of two-dimensional Riemannian manifolds in pseudo- Euclidean space
• Riemannian manifolds with bounded curvature ratios
• On compact conformally euclidean spaces of dimension \(>2\)
• On conformally-flat spaces in the large
• Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone
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