The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere
This is an interesting paper about the following open problem: Let x: \(M_{n-1}\to S^ n(1)\) be a closed minimal hypersurface in the unit n- sphere. The first eigenvalue \(\lambda_ 1\) of the Laplacian satisfies \(\lambda_ 1\leq n-1\) (Takahashi). For which manifolds is \(\lambda_ 1=n-1?\quad -\) The author gives partial answers for classes of isoparametric minimal hypersurfaces (and lower estimates also for higher eigenvalues \(\lambda_ k)\).
scientific article; zbMATH DE number 4063987
scientific article