Area of Minimal Hypersurfaces in the Unit Sphere (II)
摘要
In this paper, we estimate areas of compact minimal rotational hypersurfaces in the unit sphere. A sharper lower bound and upper bound on areas of these hypersurfaces are given. As applications, we confirm two conjectures, one in Perdomo and Wei (Nonlinear Anal 125:241–250, 2015), another in Cheng et al (Asian J Math 25:183–194, 2021) and give estimations of entropies of some special self-shrinkers.