Transversal infinitesimal automorphisms for harmonic Kähler foliations

DOI10.2748/tmj/1178227924zbMath0664.53014OpenAlexW1981151205MaRDI QIDQ1114941

Philippe Tondeur, Seiki Nishikawa

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2748/tmj/1178227924

zbMATH Keywords

infinitesimal automorphismsharmonic Kähler foliationtransversal divergence theoremtransversal killing fieldtransversely holomorphic field

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (23)

Stability and convergence of the Sasaki-Ricci flow ⋮ Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds ⋮ Transversally symmetric Riemannian foliations ⋮ Holomorphicity and the Walczak formula on Sasakian manifolds ⋮ Twisted basic Dolbeault cohomology on transverse Kähler foliations ⋮ Transverse conformal Killing forms on Kähler foliations ⋮ Harmonic maps of foliated Riemannian manifolds ⋮ Canonical Sasakian metrics ⋮ BOCHNER-TYPE FORMULAS FOR TRANSVERSALLY HARMONIC MAPS ⋮ Uniqueness and examples of compact toric Sasaki-Einstein metrics ⋮ Transversally holomorphic maps between Kähler foliations ⋮ \(L^2\)-transverse conformal Killing forms on complete foliated manifolds ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ Spectral geometry for Riemannian foliations ⋮ The mean curvature of transverse Kähler foliations ⋮ Eigenvalue estimate of the basic Dirac operator on a Kähler foliation ⋮ Transversal harmonic transformations for Riemannian foliations ⋮ The mean curvature cohomology class for foliations and the infinitesimal geometry of the leaves ⋮ A special class of holomorphic mappings and the Faddeev-Hopf model ⋮ Unnamed Item ⋮ Lower bounds for the eigenvalue of the transversal Dirac operator on a Kähler foliation ⋮ TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS ⋮ Gap theorems for Ricci-harmonic solitons

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