Pseudo-Riemannian foliations and their graphs

DOI10.1134/S1995080218010092zbMath1387.53037arXiv1611.08799OpenAlexW2559403097WikidataQ115247379 ScholiaQ115247379MaRDI QIDQ2412946

A. Yu. Dolgonosova, N. I. Zhukova

Publication date: 6 April 2018

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

Full work available at URL: https://arxiv.org/abs/1611.08799

zbMATH Keywords

graph of a foliationEhresmann connection of a foliationgeodesically invariant distributionpseudo-Riemannian foliation

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12)

Related Items (2)

Graphs of totally geodesic foliations on pseudo-Riemannian manifolds ⋮ The structure of Lorentzian foliations of codimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The graph of a foliation
• Deformations of Anosov flows and of Fuchsian groups
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Affine connections and distributions with applications to nonholonomic mechanics
• Mutual exclusiveness among spacelike, timelike, and lightlike leaves in totally geodesic foliations of lightlike complete Lorentzian two-dimensional tori
• The graph of a foliation with Ehresmann connection and stability of leaves
• Classification of compact Lorentzian 2-orbifolds with noncompact full isometry groups
• The automorphism groups of foliations with transverse linear connection
• Foliated manifolds with bundle-like metrics
• On the de Rham decomposition theorem
• Lorentzian foliations on 3-manifolds

This page was built for publication: Pseudo-Riemannian foliations and their graphs