2025/03/18 by Perdomo, Oscar · 1 citation
#53C42 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2503.13823
In this paper, we describe a family of embedded hypersurfaces with constant mean curvature (CMC) in the (n+1)-dimensional unit sphere. In the process, we provide evidence for new CMC embedded examples. In particular, for some examples with H=0, we verify Yau's conjecture stating that among the embedded, non-totally umbilical minimal hypersurfaces in spheres, the Clifford hypersurfaces have the least area.