Abstract
We study geometric properties of λ-automorphisms of a Riemannian foliationF which is not harmonic. This notion was first introduced in [KTT] for the case whereF is harmonic. Transversal Killing, affine, conformal, projective fields are all examples of λ-automorphisms. We derive several general identities for a λ-automorphism. In particular, we extend the results on the transversal conformal and Killing fields obtained in [PrY], [NY1,2]. Furthermore, we analyse the geometric meaning of the condition appearing in our results.
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The present studies were supported (in part) by the Basic Science Research Institute Program, Ministry of Education, 1994, Project No. BSRI-94-1404
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Pak, H.K. λ-Automorphisms of a Riemannian foliation. Ann Glob Anal Geom 13, 281–288 (1995). https://doi.org/10.1007/BF00773660
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DOI: https://doi.org/10.1007/BF00773660