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Harmonicity of a foliation and of an associated map
Published online by Cambridge University Press: 17 April 2009
Abstract
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 (T M, gC), where gC is the complete lift metric of g to the tangent bundle as introduced by Yano and Ishihara.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 241 - 246
- Copyright
- Copyright © Australian Mathematical Society 1996
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