A remark on minimal foliations

DOI10.2748/tmj/1178229500zbMath0437.57013OpenAlexW1991100095MaRDI QIDQ1141394

Gen-ichi Oshikiri

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229500

zbMATH Keywords

closed Riemannian manifoldscodimension-one minimal foliations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations in differential topology; geometric theory (57R30)

Related Items (9)

Characterization of totally geodesic foliations with integrable and parallelizable normal bundle ⋮ Some remarks on minimal foliations ⋮ Transversally symmetric Riemannian foliations ⋮ On sectional and Ricci curvatures of semi-Riemannian submersions ⋮ Jacobi fields and the stability of leaves of codimension-one minimal foliations ⋮ Minimal foliations on Lie groups ⋮ Totally geodesic foliations with integrable normal bundles ⋮ A note on constant mean curvature foliations of noncompact Riemannian manifolds ⋮ Some differential geometric properties of codimension-one foliations of polynomials growth.

Cites Work

• A homological characterization of foliations consisting of minimal surfaces
• Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts
• The splitting theorem for manifolds of nonnegative Ricci curvature
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