Normal Scalar Curvature Inequality on the Focal Submanifolds of Isoparametric Hypersurfaces
Normal Scalar Curvature Inequality on the Focal Submanifolds of Isoparametric Hypersurfaces
An isoparametric hypersurface in unit spheres has two focal submanifolds. Condition A plays a crucial role in the classification theory of isoparametric hypersurfaces in [1], [7], and [25]. This paper determines |$C_{A}$|, the set of points with Condition A in focal submanifolds. It turns out that the points in |$C_{A}$| …