On a problem of Osserman in Lorentzian geometry


GarciaRio E., Kupeli D., VazquezAbal M.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, cilt.7, ss.85-100, 1997 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 7 Konu: 1
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1016/s0926-2245(96)00037-x
  • Dergi Adı: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.85-100

Özet

A problem of Osserman on the constancy of the eigenvalues of the Jacobi operator is studied in Lorentzian geometry. Attention is paid to the different cases of timelike, spacelike and null Osserman condition. One also shows a relation between the null Osserman condition and a previous one on infinitesimal null isotropy.