Normal complex contact metric manifolds admitting a semi symmetric metric connection

Vanlı A., Ünal İ., Özdemir D.

APPLIED MATHEMATICS AND NONLINEAR SCIENCES, cilt.5, sa.2, ss.49-66, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/amns.2020.2.00013
  • Dergi Adı: APPLIED MATHEMATICS AND NONLINEAR SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.49-66
  • Anahtar Kelimeler: normal complex contact metric manifold, semi symmetric metric connection, curvature tensors, complex Heisenberg group, FLATNESS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection. We also prove that this type of manifold is not conformal flat, concircular flat, and conharmonic flat. Finally, we examine complex Heisenberg group with the semi symmetric metric connection.