August 3, 2025Open Access

Note on Pointwise Quasi Bi-Slant Submersions in Complex Geometry

SKSushil KumarBhagat Phool Singh Mahila Vishwavidyalaya RPRajendra PrasadUniversity of Lucknow PSPunit Kumar SınghUniversity of Lucknow

Key Points

Pointwise quasi bi-slant submersions exhibit unique geometric properties in complex settings, contributing to manifold theory and applications.
The research characterizes pointwise quasi bi-slant submersions from Kähler manifolds onto Riemannian manifolds, enriching the understanding of their geometric structure.
This investigation employs almost Hermitian manifolds as a foundation for defining and studying quasi bi-slant submersions.
These findings lead to the development of a theorem related to the geometry of distribution leaves in the context of pointwise quasi bi-slant submersions.

Abstract

In this article, we acquaint with the notion of pointwise quasi bi-slant (PQBS, in brief) submersions in complex geometry. We present the concept of pointwise quasi bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of pointwise hemi-slant submersions and pointwise semislant submersions and specially, we study such submersions from K¨ahler manifolds onto Riemannian manifolds. We explore the geometry of leaves of distribution which are involved in discussed submersions and furnish with a characterization theorem for pointwise quasi bi-slant submersions with totally umbilical fibers.

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