Some characterizations on indefinite space forms admitting almost contact structures

ACET B. E., Gulbahar M., KILIÇ E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.16, no.05, 2023 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 05
  • Publication Date: 2023
  • Doi Number: 10.1142/s1793557123500869
  • Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: Projective curvature tensor, indefinite Sasakian space form, Legendre curve
  • Inonu University Affiliated: Yes

Abstract

In this paper, the projective curvature tensor field of a generalized indefinite Sasakian space form is investigated. Some results dealing with projectively semi-symmetric and phi-projectively semi-symmetric generalized indefinite Sasakian space forms are obtained. Furthermore, biharmonic Legendre Frenet curves are discussed on these manifolds.