On Lorentzian alpha-Sasakian Manifolds

Yildiz A., MURATHAN C.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.45, sa.1, ss.95-103, 2005 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2005
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.95-103
  • Anahtar Kelimeler: trans-Sasakian manifolds, alpha-Sasakian manifolds, Lorentzian alpha-Sasakian manifolds
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The present paper deals with Lorentzian alpha-Sasakian manifolds with conformally flat and quasi conformally flat curvature tensor. It is shown that in both cases, the manifold is locally isometric with a sphere S-2n + 1 (c). Further it is shown that an Lorentzian alpha-Sasakian manifold with R (X; Y):C = 0 is locally isometric with a sphere S-2n + 1 (c), where c = alpha(2).