Harmonicity of a foliation and of an associated map

Philippe Tondeur, Lieven Vanhecke
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