On a certain application of Patterson's curvature identity

Deszcz R., Hotlos M., Senturk Z.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.58, ss.93-107, 2001 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58
  • Basım Tarihi: 2001
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.93-107
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We present curvature properties of four-dimensional semi-Riemannian manifolds satisfying some condition of pseudosymmetry type. We prove that every such manifold with non-zero associated function L is pseudosymmetric, its scalar curvature does not vanish and L must be equal to 1/3. We also describe non-trivial example of a manifold realizing all these coditions.