The non-existence of Killing fields

DOI10.2748/tmj/1178228906zbMath0536.53039OpenAlexW2078396756MaRDI QIDQ791889

Shinsuke Yorozu

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228906

zbMATH Keywords

bundle-like metricRicci operatortransverse Killing field

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Foliations in differential topology; geometric theory (57R30)

Related Items (6)

Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds ⋮ Groups of transformations of Riemannian manifolds ⋮ \(A_{\nu}\)-operator on complete foliated Riemannian manifolds ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Green's theorem on a foliated Riemannian manifold and its applications

Cites Work

• Infinitesimal automorphisms and second variation of the energy for harmonic foliations
• Foliated manifolds with bundle-like metrics
• Killing Vector Fields on Complete Riemannian Manifolds
• A Remark on the Bochner Technique in Differential Geometry
• Vector fields and Ricci curvature
• Minimal foliations on Lie groups
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