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arXiv · 2511.11620

A Structural Analysis of Warped Product Yamabe Gradient Solitons

Jahnabi Chakraborti·Anandateertha Mangasuli
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Abstract

We investigate Yamabe gradient solitons, which are warped product manifolds. We show that the fiber of a nontrivial warped product Yamabe gradient soliton has constant scalar curvature. Based on this result, we obtain a specific class of warped products that cannot be nontrivial solitons. Furthermore, we derive estimates of the scalar curvature and the soliton function of warped product solitons.

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Jahnabi Chakraborti, Anandateertha Mangasuli. 2025-11-06. A Structural Analysis of Warped Product Yamabe Gradient Solitons. https://arxiv.org/abs/2511.11620

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