Real Hypersurfaces in Nonflat Complex Space Forms with Reeb Recurrence Condition

Authors

  • Yaning Wang School of Mathematics and Information Science, Henan Normal University, China
  • Pei Wang School of Mathematics and Information Science, Henan Normal University, China

DOI:

https://doi.org/10.7546/CRABS.2023.08.02

Keywords:

hypersurface, complex space form, structure Lie operator, Reeb recurrent, Lie Reeb recurrent

Abstract

In this paper we prove that the structure Lie operator of a real hypersurface in a nonflat complex space form is Reeb recurrent if and only if it is Lie Reeb recurrent, and this is equivalent to that the hypersurface is of type (A).

Author Biographies

Yaning Wang, School of Mathematics and Information Science, Henan Normal University, China

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

E-mail: wyn051@163.com

Pei Wang, School of Mathematics and Information Science, Henan Normal University, China

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

E-mail: wxp110052@163.com

Downloads

Published

29-08-2023

How to Cite

[1]
Y. Wang and P. Wang, “Real Hypersurfaces in Nonflat Complex Space Forms with Reeb Recurrence Condition”, C. R. Acad. Bulg. Sci., vol. 76, no. 8, pp. 1168–1175, Aug. 2023.

Issue

Section

Mathematics