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Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds

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Publication:1094712
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DOI10.1007/BF00137401zbMath0631.58010MaRDI QIDQ1094712

Seiki Nishikawa, Philippe Tondeur

Publication date: 1989

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

infinitesimal automorphismsharmonic Riemannian and Kähler foliations


Mathematics Subject Classification ID

Variational problems in infinite-dimensional spaces (58E99)


Related Items

\(L^2\)-transverse conformal Killing forms on complete foliated manifolds ⋮ The mean curvature cohomology class for foliations and the infinitesimal geometry of the leaves



Cites Work

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  • The non-existence of Killing fields
  • Transversal Jacobi fields for harmonic foliations
  • On transversal infinitesimal automorphisms for harmonic foliations
  • De Rham-Hodge theory for Riemannian foliations
  • Transversal infinitesimal automorphisms for harmonic Kähler foliations
  • Vanishing theorems for square-integrable harmonic forms
  • Foliations on Riemannian manifolds
  • Carleman estimates for the Laplace-Beltrami equation on complex manifolds
  • Vector fields and Ricci curvature
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