On the Existence of Proper Nearly Kenmotsu Manifolds


Erken I. K., Dacko P., Murathan C.

Mediterranean Journal of Mathematics, vol.13, no.6, pp.4497-4507, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 6
  • Publication Date: 2016
  • Doi Number: 10.1007/s00009-016-0758-9
  • Journal Name: Mediterranean Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4497-4507
  • Keywords: Almost contact metric manifold, Kenmotsu manifold, nearly Kenmotsu manifold
  • Bursa Uludag University Affiliated: Yes

Abstract

© 2016, Springer International Publishing.We prove that a nearly Kenmotsu manifold is locally isometric to the warped product of a real line and a nearly Kähler manifold. As consequence, a normal nearly Kenmotsu manifold is Kenmotsu. Furthermore, we show that there do not exist nearly Kenmotsu hypersurfaces of nearly Kähler manifolds.