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A NOTE ON OSSERMAN LORENTZIAN MANIFOLDS

Published online by Cambridge University Press:  01 March 1997

NOVICA BLAŽIĆ ,
NEDA BOKAN  and
PETER GILKEY
NOVICA BLAŽIĆ
Affiliation:
Department of Mathematics, University of Belgrade, Belgrade, Yugoslavia
NEDA BOKAN
Affiliation:
Department of Mathematics, University of Belgrade, Belgrade, Yugoslavia
PETER GILKEY
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, USA
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Abstract

Let p be a point of a Lorentzian manifold M. We show that if M is spacelike Osserman at p, then M has constant sectional curvature at p; similarly, if M is timelike Osserman at p, then M has constant sectional curvature at p. The reverse implications are immediate. The timelike case and 4-dimensional spacelike case were first studied in [3]; we use a different approach to this case.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 2 , March 1997 , pp. 227 - 230
Copyright
© The London Mathematical Society 1997

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