On Conformally Flat Almost Contact Metric Manifolds

Blair D. E., Yildirim H.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.5, ss.2759-2770, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-015-0652-x
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2759-2770
  • Anahtar Kelimeler: Conformally flat manifolds, phi-RK manifolds, *-eta-Einstein manifolds, almost contact metric manifolds, almost C(alpha)-manifolds, almost alpha-Kenmotsu manifolds, almost Kenmotsu manifolds, contact metric manifolds, generalized Sasakian space forms
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we first focus on conformally flat almost -manifolds. Moreover, we construct an example of a 3-dimensional conformally flat almost -Kenmotsu manifold which is of non-constant sectional curvature. By means of this example, we also illustrate a 3-dimensional conformally flat almost Kenmotsu manifold which not only contrasts with both H (3)(-1) and but also is of non-constant sectional curvature. Then, we study conformally flat, -RK contact metric and almost contact metric manifolds. Next, we investigate the curvature properties of conformally flat generalized Sasakian space forms. Finally, we deal with conformally flat almost contact metric manifolds which are *--Einstein. In this regard, we are also interested in conformally flat contact metric manifolds of which are *--Einstein.