(1) Faculty of Information and Science, Daegu Haany University, Kyungsan, 712-715, South Korea;(2) Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea
Abstract:
The main purpose of the present paper is to study geometric properties of transversal (infinitesimal) harmonic transformations for Riemannian foliations. For the point foliation these notions are discussed in [14]. Especially we treat transversal infinitesimal harmonic transformations from the standpoint of λ-automorphisms. Our results extend those obtained in[6, 7, 15] for the case of harmonic foliations. Mathematics Subject Classifications (2000): Primary 53C20, Secondary 57R30.
