Published May 7, 2007
| Version v1
Journal article
Four-dimensional Osserman-Ivanov-Petrova metrics of neutral signature
- 1. Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela (Spain)
Description
Algebraic curvature tensors which are Osserman-IP in the (- - + +)-signature setting are completely determined. As a consequence, it is shown that a four-dimensional pointwise Osserman-IP manifold is a space of constant sectional curvature or, otherwise, at each point the Jacobi operators either vanish or they are two-step nilpotent
Additional details
Identifiers
- DOI
- 10.1088/0264-9381/24/9/012;
- PII
- S0264-9381(07)42411-X;
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 24
- Journal Issue
- 9
- Journal Page Range
- p. 2343-2355
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38083573
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- COSMOLOGY; FIELD OPERATORS; FOUR-DIMENSIONAL CALCULATIONS; METRICS; SMOOTH MANIFOLDS; SPACE; TENSORS
- Descriptors DEC
- MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS