On generalized recurrent Riemannian manifolds

Arslan K., De U. C., Murathan C., Yildiz A.

ACTA MATHEMATICA HUNGARICA, cilt.123, sa.1-2, ss.27-39, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 123 Sayı: 1-2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s10474-008-8049-y
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.27-39
  • Anahtar Kelimeler: generalized recurrent manifold, concirculary recurent manifold, quasi-Einstein manifold, Ricci-semisymmetry, CLASSIFICATION
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.