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arXiv · 1009.6209

Submanifolds in manifolds with metric mixed 3-structures

Stere Ianus·Liviu Ornea·Gabriel Eduard Vilcu
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Abstract

Mixed 3-structures are odd-dimensional analogues of paraquaternionic structures. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. We study invariant and anti-invariant submanifolds in a manifold endowed with a mixed 3-structure and a compatible (semi-Riemannian) metric. Particular attention is given to two cases of ambient space: mixed 3-Sasakian and mixed 3-cosymplectic.

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Stere Ianus, Liviu Ornea, Gabriel Eduard Vilcu. 2010-09-30. Submanifolds in manifolds with metric mixed 3-structures. https://arxiv.org/abs/1009.6209

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