Semi-Riemannian submersions with totally geodesic fibres

DOI10.2748/tmj/1113246550zbMath1061.53047arXivmath/0005254OpenAlexW1718479213WikidataQ115227307 ScholiaQ115227307MaRDI QIDQ1885485

Gabriel Baditoiu

Publication date: 5 November 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005254

zbMATH Keywords

canonical submersionquaternionic fibre

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Rigidity of Riemannian foliations with complex leaves on Kähler manifolds ⋮ Biharmonic pseudo-Riemannian submersions from 3-manifolds

Cites Work

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• Riemannian submersions of compact simple Lie groups with connected totally geodesic fibres
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• Indefinite Kähler manifolds
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• Riemannian submersions from complex projective space
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• The low-dimensional metric foliations of Euclidean spheres
• The fundamental equations of a submersion
• A generalization of Berger's rigidity theorem for positively curved manifolds
• On the Nonexistence of Riemannian Submersions from CP(7) and QP(3)
• Index parity of closed geodesics and rigidity of Hopf fibrations

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