✦ LIBER ✦

On transversal infinitesimal automorphisms for harmonic foliations

✍ Scribed by Philippe Tondeur; Gabor Toth

Publisher: Springer
Year: 1987
Tongue: English
Weight: 262 KB
Volume: 24
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00150938

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✦ Synopsis

In this paper we consider a harmonic Riemannian foliation .:~, and study the transversal infinitesimal automorphisms of .~ with certain additional properties like being transversal conformal or Killing (= metric). Such automorphisms (modulo Killing automorphisms) are related to the stability of.~. A special stud)' is made for the case of a foliation with constant transversal scalar curvature, and more particularly with transversal Ricci curvature proportional to the transversal metric (Einstein foliation).

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