2014/03/07 by E. Loubeau, Loubeau, E., Cezar Oniciuc +1
Mathematics · #53C42 #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1403.1703
openalex publication_date 2014/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
CMC surfaces in spheres are investigated under the extra condition of biharmonicity. From the work of Miyata, especially in the flat case, we give a complete description of such immersions and show that for any h∈ (0,1) there exist CMC proper-biharmonic planes and cylinders in \sn5 with |H|=h, while a necessary and sufficient condition on h is found for the existence of CMC proper-biharmonic tori in \sn5.