What question did this study set out to answer?

The aim is to explore geometric characteristics of Kenmotsu and almost Kenmotsu manifolds with non-gradient m-quasi-Einstein structures.

June 19, 2026Glasgow Mathematical Journal

Some rigidity results on non-gradient m-quasi-Einstein condition

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DPDhriti Sundar PatraIndian Institute of Technology Hyderabad

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Implication

This article demonstrates geometric characterizations of manifolds with non-gradient m-quasi-Einstein structures, indicating implications for curvature properties.

Key Points

The aim is to explore geometric characteristics of Kenmotsu and almost Kenmotsu manifolds with non-gradient m-quasi-Einstein structures.
Proved that a Kenmotsu manifold with a closed m-quasi-Einstein structure is an Einstein manifold.
Analyzed three-dimensional Kenmotsu manifolds with non-trivial m-quasi-Einstein structures and conformal vector fields.
Showed that non-Kenmotsu almost Kenmotsu manifolds admitting closed m-quasi-Einstein structures are locally isometric to specific product spaces.
A Kenmotsu manifold with a closed m-quasi-Einstein structure is confirmed as an Einstein manifold.
Three-dimensional Kenmotsu manifolds with non-trivial m-quasi-Einstein structures exhibit constant sectional curvature of -1.
Non-Kenmotsu almost Kenmotsu manifolds with m-quasi-Einstein structures are locally isometric to the product space H^(n+1)(-4) x R^n.

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Dhriti Sundar Patra (2026) studied this question.

synapsesocial.com/papers/6a34dde465a5b0777af2d77d https://doi.org/10.1017/s0017089526100986

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Implication

This article demonstrates geometric characterizations of manifolds with non-gradient m-quasi-Einstein structures, indicating implications for curvature properties.

Some rigidity results on non-gradient m-quasi-Einstein condition

Discussion

Member takes

Implication

Key Points

Cite This Study

Some rigidity results on non-gradient m-quasi-Einstein condition

Discussion

Member takes

Implication

Key Points

Cite This Study

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