Decomposition of Euclidean Nearly Kähler submanifolds

Abstract

We study the foliation space of complex and invariant (by torsion of intrinsic Hermitian connection) umbilic distribution on an isometric immersion from a nearly Kähler manifold $M$ into the Euclidean space. Under suitable conditions this leaf space is nearly Kähler and $M$ can be decomposed into a product of this leaf space and a 6-dimensional locally homogeneous nearly Kähler manifold.

13 pages

References in corpus (1)

• Nearly Kähler submanifolds of a space form