P.J. Ryan's problem in semi-Riemannian space forms


Defever F., Deszcz R., Senturk Z., Verstraelen L., Yaprak S.

GLASGOW MATHEMATICAL JOURNAL, cilt.41, ss.271-281, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1017/s0017089599970969
  • Dergi Adı: GLASGOW MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.271-281

Özet

We prove that the conditions R . R = 0 and R . S = 0 are equivalent for hypersurfaces of a 5-dimensional semi-Riemannian space form N-5(c). This solves a problem by P.J. Ryan in the case of hypersurfaces of dimension 4 in semi-Riemannian space forms.