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