Totally geodesic foliations and Killing fields. II

DOI10.2748/tmj/1178228447zbMath0585.53025OpenAlexW1981047397MaRDI QIDQ1070544

Gen-ichi Oshikiri

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228447

zbMATH Keywords

Killing fieldminimal foliationstotally geodesic foliation

Mathematics Subject Classification ID

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

Related Items (7)

Some remarks on minimal foliations ⋮ The geometry of totally geodesic foliations admitting Killing field ⋮ Jacobi fields and the stability of minimal foliations of arbitrary codimension ⋮ Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one ⋮ Totally flat foliations and peakless functions ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

• Totally geodesic foliations and Killing fields
• Jacobi tensors and Ricci curvature
• Manifolds without focal points
• De Rham decomposition theorems for foliated manifolds
• Growth of Jacobi fields and divergence of geodesics
• Totally geodesic foliations

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