On a problem of Osserman in Lorentzian geometry

GarciaRio E., Kupeli D., VazquezAbal M.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, vol.7, no.1, pp.85-100, 1997 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 1997
  • Doi Number: 10.1016/s0926-2245(96)00037-x
  • Journal Name: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.85-100
  • Keywords: Osserman conjecture, Lorentz manifold, Jacobi operator, infinitesimal isotropy, warped product, CURVATURE CHARACTERIZATION, RIEMANNIAN GEOMETRY, SECTIONAL CURVATURE, SPACES, NULL, MANIFOLDS, ISOTROPY, OPERATOR, METRICS
  • Middle East Technical University Affiliated: No

Abstract

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.