2017/11/08 by Bang‐Yen Chen, Sharief Deshmukh, Chen, Bang-Yen +1
Materials Science · Mathematics · #53C25 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #Flame retardant materials and properties #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1711.02978
openalex publication_date 2017/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields. Several fundamental results of such solitons were proved. In particular, we classify such Yamabe and quasi-Yamabe solitons on Euclidean hypersurfaces.