A NOTE ON OSSERMAN LORENTZIAN MANIFOLDS

Authors
BLAZIC N BOKAN N GILKEY P
Citation
N. Blazic et al., A NOTE ON OSSERMAN LORENTZIAN MANIFOLDS, Bulletin of the London Mathematical Society, 29, 1997, pp. 227-230
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
29
Year of publication
1997
Part
2
Pages
227 - 230
Database
ISI
SICI code
0024-6093(1997)29:<227:ANOOLM>2.0.ZU;2-C
Abstract
Let p be a point of a Lorentzian manifold M. We show that if M is spac elike Osserman at p, then M has constant sectional curvature at p; sim ilarly, if M is timelike Osserman at p, then M has constant sectional curvature at p. The reverse implications are immediate. The timelike c ase and 4-dimensional spacelike case were first studied in [3]; we use a different approach to this case.