Area of minimal hypersurfaces in the unit sphere. II (Q6624057)

The authors conduct an investigation into the areas of compact minimal rotational hypersurfaces in the unit sphere. They present sharper lower and upper bounds for areas of hypersurfaces. Their findings serve as evidence for the validity of two conjectures, proposed by \textit{O. M. Perdomo} and \textit{G. Wei} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 241--250 (2015; Zbl 1327.53078)] and by \textit{Q.-M. Cheng} et al. [Asian J. Math. 25, No. 2, 183--194 (2021; Zbl 1481.53078)]. Moreover, they estimate the entropies associated with certain self-shrinkers.