Clairaut anti-invariant submersion from nearly Kaehler manifold
Punam Gupta, Amit Kumar Rai
TL;DR
This paper studies Clairaut anti-invariant submersions from nearly Kaehler manifolds, exploring conditions for geodesic properties and umbilical fibers, and providing illustrative examples.
Contribution
It introduces new conditions for Clairaut anti-invariant submersions to be totally geodesic and examines their properties with totally umbilical fibers.
Findings
Conditions for Clairaut anti-invariant submersions to be totally geodesic
Characterization of submersions with totally umbilical fibers
Constructed illustrative example
Abstract
In the present paper, we investigate geometric properties of Clairaut anti-invariant submersions whose total space is a nearly Kaehler manifold. We obtain condition for Clairaut anti-invariant submersion to be a totally geodesic map and also study Clairaut anti-invariant submersions with totally umbilical fibers. In the last, we introduce illustrative example.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research