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Harmonicity of a foliation and of an associated map
1996
Bulletin of the Australian Mathematical Society
A foliation on a Riemannian manifold (M,g) is harmonic if all the leaves are minimal submanifolds. We give a new characterisation of the harmonicity of a foliation on (M,g) by the harmonicity of an associated bundle map of (TM, jf C ) , where g c is the complete lift metric of g to the tangent bundle as introduced by Yano and Ishihara.
doi:10.1017/s000497270001769x
fatcat:oaefco5bkrallac6kfci4an5dy