\(n\)-dimensional area of minimal rotational hypersurfaces in spheres (Q495230)

This paper is devoted to the second value for the \(n\)-area \(|M|\) functional among compact minimal rotational hypersurfaces \(M\) in \(S^{n+1}\) and the main result is Theorem 1.3: If \(M\) is a compact minimal rotational hypersurface in \(S^4\) then either \(|M|=|S^3|\) or \(|M|=\biggl |S^2(\sqrt{\frac{2}{3}})\times S^1(\frac{1}{\sqrt{3}})\biggr |\) or \(|M|>\biggl | S^2(\sqrt{\frac{2}{3}})\times S^1(\frac{1}{\sqrt{3}})\biggr |\).