Rigging technique for 1-lightlike submanifolds and preferred rigged connections

DOI10.1007/s00009-019-1423-xzbMath1428.53027OpenAlexW2981245059WikidataQ126999754 ScholiaQ126999754MaRDI QIDQ2334588

Hans Fotsing Tetsing, Ferdinand Ngakeu, Benjamin Olea

Publication date: 7 November 2019

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

Full work available at URL: https://doi.org/10.1007/s00009-019-1423-x

zbMATH Keywords

induced connectionnull submanifoldsrigged connectionrigging technique

Mathematics Subject Classification ID

Local submanifolds (53B25) Linear and affine connections (53B05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Conformal vector fields and null hypersurfaces ⋮ Contact structures on null hypersurfaces ⋮ Normalized null hypersurfaces in nonflat Lorentzian space forms satisfying Lrx = Ux + b ⋮ Statistical structures arising in null submanifolds ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ Normalized Null hypersurfaces of Indefinite Kähler Manifolds ⋮ On the regularity of null cones and geodesic spheres ⋮ Null hypersurfaces and the rigged metric

Cites Work

• Pseudoinversion of degenerate metrics
• Null hypersurfaces on Lorentzian manifolds and rigging techniques
• New properties on normalized null hypersurfaces
• Closed hypersurfaces with constant mean curvature in a Riemannian manifold
• Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen
• Induced Riemannian structures on null hypersurfaces
• alpha-Associated metrics on rigged null hypersurfaces
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