Nearly Kähler submanifolds of a space form

Nikrooz Heidari; Abbas Heydari

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arXiv · 1405.2721

Nearly Kähler submanifolds of a space form

Nikrooz Heidari·Abbas Heydari

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Abstract

In this article we study isometric immersions of nearly Kähler manifolds into a space form (specially Euclidean space) and show that every nearly Kähler submanifold of a space form has a totally umbilic foliation whose leafs are 6-dimensional nearly Kähler manifolds. Moreover using this foliation we show that there is no non-homogeneous 6-dimensional nearly Kähler submanifold of a space form. We prove some results towards a classification of nearly Kähler hypersurfaces in standard space forms.

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BibTeX RIS

Nikrooz Heidari, Abbas Heydari. 2014-11-16. Nearly Kähler submanifolds of a space form. https://arxiv.org/abs/1405.2721

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