Some characterizations of quasi-Einstein and twisted product manifolds


Taştan H. M., Traore M., Blaga A.

International Journal of Maps in Mathematics, cilt.6, sa.1, ss.54-66, 2023 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: International Journal of Maps in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.54-66
  • İstanbul Üniversitesi Adresli: Evet

Özet

We first consider quasi-Einstein manifolds with concircular generator vector
field. Secondly, we get a result for a twisted product alternative to a result of Ponge-
Reckziegel [13]. Then we study quasi-Einstein manifolds on twisted product structures. In
particular, we examine the effect of the condition of quasi-Einstein on a twisted product to
its factor manifolds. Also, we obtain some conditions for a twisted product satisfying the
quasi-Einstein condition to be a warped or a direct product