2020/10/07 by Willian Isáo Tokura, Levi Adriano, Tokura, W. +5
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.2010.03995
openalex publication_date 2020/10/07 · openalex created_date 2020/10/15 · openalex updated_date 2026/07/28
The purpose of this article is to study the geometry of gradient almost Yamabe solitons immersed into warped product manifolds I×fMn whose potential is given by the height function from the immersion. First, we present some geometric rigidity on compact solitons due to a curvature condition on the warped product manifold. In the sequel, we investigate conditions for the existence of totally geodesic, totally umbilical and minimal solitons. Furthermore, in the scope of constant angle immersions, a classification of rotational gradient almost Yamabe soliton immersed into ℝ×fℝn is also made.