Paraquaternionic CR-submanifolds of paraquaternionic Kahler manifolds and semi-Riemannian submersions

Abstract

In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kaehler manifolds.

arXiv comment19 pages

References in corpus (3)

• Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles
• Geometry of Paraquaternionic Kahler manifolds with torsion
• Foliations on quaternion CR-submanifolds

Cited by in corpus (2)

• Riemannian submersions from almost contact metric manifolds
• Ruled CR-submanifolds of locally conformal Kähler manifolds