Transversal harmonic transformations for Riemannian foliations |
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| Authors: | Hong?Kyung?Pak mailto:hkpak@dhu.ac.kr" title=" hkpak@dhu.ac.kr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Jeong?Hyeong?Park |
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| Affiliation: | (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 |
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| 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. |
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| Keywords: | Riemannian foliation Transversal harmonic transformation Transversal infinitesimal harmonic transformation λ -automorphism Harmonicity |
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