Clairaut Generic Riemannian Maps from Nearly Käahler Manifolds

Q: What does this research mean for the field?

Specific conditions determine when a Clairaut generic Riemannian map from a nearly Kähler manifold to a Riemannian manifold constitutes a totally geodesic foliation on the total manifold. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Nidhi Yadav; K. C. Gupta; Punam Gupta

doi:10.1142/s0219887826503743

August 21, 2026International Journal of Geometric Methods in Modern Physics

Clairaut Generic Riemannian Maps from Nearly Käahler Manifolds

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Key Points

To investigate the geometric properties of Clairaut generic Riemannian maps originating from nearly Kähler manifolds into Riemannian manifolds.
Analyzed differential geometric formulations of Clairaut generic Riemannian maps on nearly Kähler manifolds.
Derived analytical conditions under which these maps generate totally geodesic foliations on the total manifold.
Constructed non-trivial mathematical examples to validate the theoretical framework.
Identified precise geometric conditions required for a Clairaut generic Riemannian map from a nearly Kähler manifold to produce a totally geodesic foliation.
Demonstrated the existence and behavior of these mappings through explicit non-trivial geometric constructions.

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Implication

Mathematical analysis reveals conditions for Clairaut generic Riemannian maps to form totally geodesic foliations, highlighting key geometric structural properties.

Abstract

In this paper, we study Clairaut generic Riemannian maps from a nearly Kähler manifold to a Riemannian manifold. Furthermore, we obtain a condition for a Clairaut generic Riemannian map to be a totally geodesic foliation on the total manifold. Lastly, we provide non-trivial examples of such Riemannian maps.

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Yadav et al. (2026) studied this question.

synapsesocial.com/papers/6a8c00c1bca056c88e6dfa65 https://doi.org/10.1142/s0219887826503743

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Clairaut Generic Riemannian Maps from Nearly Käahler Manifolds

Key Points

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Implication

Abstract

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Cite This Study

Clairaut Generic Riemannian Maps from Nearly Käahler Manifolds

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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