On sectional and Ricci curvatures of semi-Riemannian submersions

DOI10.2996/kmj/1138043720zbMath0891.53016OpenAlexW1970369555WikidataQ115224552 ScholiaQ115224552MaRDI QIDQ1364545

Young Jin Suh, Jung-Hwan Kwon

Publication date: 19 July 1998

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

Full work available at URL: https://semanticscholar.org/paper/4d4b04e704f5c1ebd91260003f95c511c4ce5220

zbMATH Keywords

curvaturesemi-Riemannian manifoldssubmersionsminimal submersionstotally geodesic submersions

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds ⋮ Semi-Riemannian submersions with totally umbilic fibres ⋮ On the second fundamental tensor of real hypersurfaces in quaternionic hyperbolic space ⋮ Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces. ⋮ Generalized horizontally weakly conformal submersion between semi-Riemannian manifold ⋮ Biharmonic lifts by means of pseudo-Riemannian submersions in dimension three

Cites Work

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• Submersions from anti-de Sitter space with totally geodesic fibers
• Harmonic foliations on a compact Riemannian manifold of non-negative constant curvature
• A remark on minimal foliations
• Riemannian submersions with totally geodesic fibers
• Manifold maps commuting with the Laplacian
• The fundamental equations of a submersion
• Riemannian Foliations of the Rank one Symmetric Spaces
• Minimal foliations on Lie groups

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