Ruled Hypersurfaces in Nonflat Complex Planes with 3-Killing Structure Vector Fields

Authors

  • Yaning Wang Henan Normal University, China
  • Miaojing Hou Henan Normal University, China
  • Tianci Liu Henan Normal University, China

DOI:

https://doi.org/10.7546/CRABS.2026.02.02

Keywords:

ruled hypersurface, nonflat complex plane, 3-Killing vector field

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.

Author Biographies

Yaning Wang, Henan Normal University, China

Mailing Address:
School of Mathematics and Statistics,
Henan Normal University,
Xinxiang 453007, Henan, P. R. China

E-mail: wyn051@163.com

Miaojing Hou, Henan Normal University, China

Mailing Address:
School of Mathematics and Statistics,
Henan Normal University,
Xinxiang 453007, Henan, P. R. China

E-mail: h1175329660@163.com

Tianci Liu, Henan Normal University, China

Mailing Address:
School of Mathematics and Statistics,
Henan Normal University,
Xinxiang 453007, Henan, P. R. China

E-mail: 13803991884@163.com

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Published

26-02-2026

How to Cite

[1]
Y. Wang, M. Hou, and T. Liu, “Ruled Hypersurfaces in Nonflat Complex Planes with 3-Killing Structure Vector Fields”, C. R. Acad. Bulg. Sci., vol. 79, no. 2, pp. 167–174, Feb. 2026.

Issue

Vol. 79 No. 2 (2026)

Section

Mathematics

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