Obtains curvature inequalities in Riemannian manifolds, implicating geometric properties.
In this paper, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of Lagrangian Riemannian submersion defined from locally product spaces onto a Riemannian manifold. Also, we obtain the Chen-Ricci inequality for the said Riemannian submersion. In the end, we give a non-trivial example.
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Lone et al. (2025) studied this question.
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