Some remarks on quasi generalized CR-null geometry in indefinite nearly cosymplectic manifolds
Fortun\'e Massamba, Samuel Ssekajja
TL;DR
This paper explores the geometric properties of quasi generalized CR-null submanifolds within indefinite nearly cosymplectic manifolds, focusing on distributions, umbilical conditions, and geodesity effects.
Contribution
It characterizes totally umbilical and irrotational ascreen QGCR-null submanifolds and examines the impact of geodesity conditions on their geometry.
Findings
Characterization of totally umbilical ascreen QGCR-null submanifolds
Conditions for irrotational ascreen QGCR-null submanifolds
Effects of geodesity conditions on submanifold geometry
Abstract
In [21], the authors initiated the study of quasi generalized CR (QGCR)-null submanifolds. In this paper, attention is drawn to some distributions on ascreen QGCR-null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds. We finally discuss the geometric effects of geodesity conditions on such submanifold.
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