Characterization of the $(\kappa,\mu)$-space with Boeckx invariant $I=\pm1$

Authors

  • Yaning Wang School of Mathematics and Statistics, Henan Normal University, Xinxiang, Henan, China
  • Tianci Liu School of Mathematics and Statistics, Henan Normal University, Xinxiang, Henan, China
  • Miaojing Hou School of Mathematics and Statistics, Henan Normal University, Xinxiang, Henan, China

DOI:

https://doi.org/10.3842/umzh.v78i9-10.9647

Keywords:

Contact metric, Boeckx invariant, m-Killing vector field

Abstract

UDC 514.7

We show that the Reeb vector field of a non-Sasakian contact metric $(\kappa,\mu)$-space $M$ is $m$-Killing for $m\geq3$ if and only if the Boeckx invariant  $I=\pm1.$ Some specific examples confirming this theorem are provided.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 9-10, 2026.

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Published

19.09.2026

Issue

Vol. 78 No. 9-10 (2026)

Section

Research articles