On a problem of Osserman in Lorentzian geometry

GarciaRio E., Kupeli D., VazquezAbal M.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, cilt.7, sa.1, ss.85-100, 1997 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1016/s0926-2245(96)00037-x
  • Dergi Adı: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.85-100
  • Anahtar Kelimeler: Osserman conjecture, Lorentz manifold, Jacobi operator, infinitesimal isotropy, warped product, CURVATURE CHARACTERIZATION, RIEMANNIAN GEOMETRY, SECTIONAL CURVATURE, SPACES, NULL, MANIFOLDS, ISOTROPY, OPERATOR, METRICS
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

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.