A Structural Analysis of Warped Product Yamabe Gradient Solitons
Differential Geometry
2025-11-18 v1
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.
Cite
@article{arxiv.2511.11620,
title = {A Structural Analysis of Warped Product Yamabe Gradient Solitons},
author = {Jahnabi Chakraborti and Anandateertha Mangasuli},
journal= {arXiv preprint arXiv:2511.11620},
year = {2025}
}
Comments
12 pages