On slant immersions into Kähler manifolds
The main purpose of this article is to study slant immersions into a complex-space-form (in the sense of [the reviewer, Geometry of slant submanifolds, Katholieke Universiteit Leuven (1990; Zbl 0716.53006)]. First, the authors prove that every \(G\)-equivariant isometric immersion of a Kähler \(C\)-space \(M=G/K\) with \(b_ 2(M)=1\) into a complex projective space is a slant immersion. Then they show that every circular geodesic slant immersion of a Riemannian manifold with constant scalar curvature into a complex-space-form has parallel second fundamental form. Finally, they obtain three geometric characterizations of circular geodesic slant surfaces in complex-space-forms.
scientific article; zbMATH DE number 515592
scientific article