2025/11/06 by Jahnabi Chakraborti, Chakraborti, Jahnabi, Anandateertha Mangasuli +1
Mathematics · Physics and Astronomy · #53C21 #53C25 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2511.11620
openalex publication_date 2025/11/06 · openalex created_date 2025/11/19 · openalex updated_date 2026/07/28
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.