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Transversal harmonic transformations for Riemannian foliations

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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.

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Authors and Affiliations

  1. Faculty of Information and Science, Daegu Haany University, Kyungsan, 712-715, South Korea

    Hong Kyung Pak

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    Jeong Hyeong Park

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  1. Hong Kyung Pak
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  2. Jeong Hyeong Park
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Correspondence to Hong Kyung Pak.

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Mathematics Subject Classifications (2000): Primary 53C20, Secondary 57R30.

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Pak, H.K., Park, J.H. Transversal harmonic transformations for Riemannian foliations. Ann Glob Anal Geom 30, 97–105 (2006). https://doi.org/10.1007/s10455-006-9032-x

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  • DOI: https://doi.org/10.1007/s10455-006-9032-x

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