Reach Us +44-1904-929220


On para-Kenmotsu manifolds satisfying certain conditions on the curvature tensors

The objective of this paper is to study certain properties of para-Kenmotsu manifolds satisfying the conditions R(X ,Y).R = 0 , R(X ,Y).S = 0 and P(X ,Y).S = 0 where R(X, Y) is the Riemannian curvature tensor, S(X, Y) is the Ricci curvature tensor and P(X, Y) is the Weyl projective curvature tensor. It is shown that a p -Kenmotsu manifold satisfying the conditions R(X ,Y).R = 0 is flat, and R(X ,Y).S = 0 is an Einstein manifold. Finally, we also proved that if a p -Kenmotsu manifold satisfies the condition P(X ,Y).S = 0 , then the structure vector x is normal to the tangent space of the manifold.

Author(s): K. L. Sai Prasad and T. Satyanarayana

Abstract | PDF

Share this  Facebook  Twitter  LinkedIn  Google+
30+ Million Readerbase
Recommended Conferences
Flyer image
Abstracted/Indexed in
  • Chemical Abstracts Service (CAS)
  • Index Copernicus
  • Google Scholar
  • Genamics JournalSeek
  • China National Knowledge Infrastructure (CNKI)
  • CiteFactor
  • Electronic Journals Library
  • Directory of Research Journal Indexing (DRJI)
  • WorldCat
  • Proquest Summons
  • Publons
  • Serials Union Catalogue (SUNCAT)
  • Geneva Foundation for Medical Education and Research
  • Secret Search Engine Labs