Some characterizations on indefinite space forms admitting almost contact structures

ACET B. E., Gulbahar M., KILIÇ E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.16, sa.05, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 05
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s1793557123500869
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Projective curvature tensor, indefinite Sasakian space form, Legendre curve
  • İnönü Üniversitesi Adresli: Evet

Özet

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.