Totally geodesic foliations and Killing fields

DOI10.2748/tmj/1178228997zbMath0517.53035OpenAlexW4231133230MaRDI QIDQ1053294

Gen-ichi Oshikiri

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228997

zbMATH Keywords

Killing vector fieldtotally geodesic foliation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (8)

The geometry of totally geodesic foliations admitting Killing field ⋮ Killing fields preserving totally geodesic, codimension-one foliations ⋮ Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Closed timelike geodesics in compact spacetimes ⋮ Some differential geometric properties of codimension-one foliations of polynomials growth. ⋮ Totally geodesic foliations and Killing fields. II

Cites Work

• Unnamed Item
• Jacobi fields and the stability of leaves of codimension-one minimal foliations
• On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy
• Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts
• The decomposition of a differentiable manifold and its applications
• Manifolds of Negative Curvature
• Totally geodesic foliations

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