Ruled Hypersurfaces in Nonflat Complex Planes with 3-Killing Structure Vector Fields
Abstract
Let M be a ruled hypersurface in a nonflat complex plane. In this paper, we prove that if the structure vector field of M is 3-Killing and the mean curvature of M is invariant along the structure vector field, then M is strongly 2-Hopf and the shape operator of M is completely determined.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Proceedings of the Bulgarian Academy of Sciences
- Volume
- 79
- Issue
- 2
- Publication date
- 26 February 2026
- Language
- EN