Pseudo symmetry curvature conditions on submanifolds of conformal Kenmotsu manifolds

Abdi R., Tunç C.

Nonlinear Studies, vol.29, no.2, pp.457-476, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 2
  • Publication Date: 2022
  • Journal Name: Nonlinear Studies
  • Journal Indexes: Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.457-476
  • Keywords: Pseudo symmetric, Ricci generalized pseudo symmetric, Ricci pseudo symmetric, Weyl projective pseudo symmetric
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

© CSP - Cambridge, UK, I&S - Florida, USA, 2022We investigate the effect of pseudo symmetry, Ricci generalized pseudo symmetry, Ricci pseudo symmetry and Weyl projective pseudo symmetry conditions on submanifolds of conformal Kenmotsu manifolds provided that the Lee vector field either is normal to or has a non-zero tangential part on the submanifold and give a full classification of such submanifolds. Some new interesting and important results of this study are Einstein and mixed generalized quasi Einstein submanifolds and also some non-existence theorems of these types of submanifolds. Other results are a characterization of semi symmetric, Ricci semi symmetric and Weyl projective semi symmetric submanifolds with the same conditions on the Lee vector field.