Decomposition of Euclidean Nearly K\"ahler submanifolds

Nikrooz Heidari; Abbas Heydari

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arXiv · 1505.07561

Decomposition of Euclidean Nearly K\"ahler submanifolds

Nikrooz Heidari·Abbas Heydari

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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 K\"ahler manifold $M$ into the Euclidean space. Under suitable conditions this leaf space is nearly K\"ahler and $M$ can be decomposed into a product of this leaf space and a 6-dimensional locally homogeneous nearly K\"ahler manifold.

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Nikrooz Heidari, Abbas Heydari. 2015-05-28. Decomposition of Euclidean Nearly K\"ahler submanifolds. https://arxiv.org/abs/1505.07561

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