Some characterizations of quasi-Einstein and twisted product manifolds

Taştan H. M., Traore M., Blaga A.

International Journal of Maps in Mathematics, vol.6, no.1, pp.54-66, 2023 (Scopus)

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2023
  • Journal Name: International Journal of Maps in Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.54-66
  • Istanbul University Affiliated: Yes

Abstract

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