Jacobi fields and the stability of leaves of codimension-one minimal foliations

DOI10.2748/tmj/1178229203zbMath0488.53026OpenAlexW2011849707MaRDI QIDQ1166133

Gen-ichi Oshikiri

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229203

zbMATH Keywords

Jacobi fieldslinear holonomycodimension-one minimal foliations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (6)

The geometry of totally geodesic foliations admitting Killing field ⋮ Jacobi fields and the stability of minimal foliations of arbitrary codimension ⋮ Conformal fields and the stability of leaves with constant higher order mean curvature ⋮ Totally geodesic foliations and Killing fields ⋮ Some differential geometric properties of codimension-one foliations of polynomials growth. ⋮ Foliations by hypersurfaces with constant mean curvature

Cites Work

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• A remark on minimal foliations
• Minimal varieties in Riemannian manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Totally geodesic foliations

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