Nearly Kähler geometry and Riemannian foliations
Nearly Kähler geometry and Riemannian foliations
We consider strict and complete nearly Kahler manifolds with the canonical Hermitian connection.The holonomy representation of the canonical Hermitian connection is studied.We show that a strict and complete nearly Kahler is locally a Riemannian product of homogenous nearly Kahler spaces, twist or spaces over quaternionic Kahler manifolds and 6-dimensional nearly …