Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces.

DOI10.1016/S0926-2245(01)00070-5zbMath1036.53046arXivmath/0005228WikidataQ115338226 ScholiaQ115338226MaRDI QIDQ1608961

Gabriel Baditoiu, Steriu Ianus

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005228

zbMATH Keywords

geodesicssemi-Riemannian manifold, submersion

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (17)

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds ⋮ Semi-Riemannian submersions with totally geodesic fibres ⋮ Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry ⋮ Quantum harmonic oscillator, entanglement in the vacuum and its geometric interpretation ⋮ Anti-invariant pseudo-Riemannian submersions and Clairaut submersions from paracosymplectic manifolds ⋮ Riemannian submersions from almost contact metric manifolds ⋮ Anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds ⋮ Rigidity of Riemannian foliations with complex leaves on Kähler manifolds ⋮ Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration ⋮ Neutral slant submersions in paracomplex geometry ⋮ Slant submersions in paracontact geometry ⋮ The subelliptic heat kernel of the octonionic anti-de Sitter fibration ⋮ The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces ⋮ Semi-Riemannian submersions with totally umbilic fibres ⋮ H-type foliations ⋮ Biharmonic pseudo-Riemannian submersions from 3-manifolds ⋮ Quantum origin of the Minkowski space

Cites Work

• Submersions from anti-de Sitter space with totally geodesic fibers
• Submanifolds of the Cayley projective plane with bounded second fundamental form
• Riemannian submersions of spheres with totally geodesic fibres
• Indefinite Kähler manifolds
• Quaternion Kählerian manifolds
• Riemannian submersions with totally geodesic fibers
• Riemannian submersions from complex projective space
• On sectional and Ricci curvatures of semi-Riemannian submersions
• The fundamental equations of a submersion
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