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

TL;DR

This paper introduces paraquaternionic CR-submanifolds within paraquaternionic Kähler manifolds, exploring their differential geometry and analyzing semi-Riemannian submersions from these submanifolds.

Contribution

It defines paraquaternionic CR-submanifolds and investigates their geometric properties and the structure of semi-Riemannian submersions from them.

Findings

Basic results on differential geometry of paraquaternionic CR-submanifolds

Characterization of semi-Riemannian submersions from these submanifolds

Extension of geometric theory in paraquaternionic settings

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.