skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Conformally flat Lorentzian manifolds with special holonomy groups

Journal Article · · Sbornik. Mathematics
 [1]
  1. Masaryk University, Brno (Czech Republic)

We obtain a local classification of conformally flat Lorentzian manifolds with special holonomy groups. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics. Bibliography: 28 titles.

OSTI ID:
22365967
Journal Information:
Sbornik. Mathematics, Vol. 204, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

Similar Records

On pseudo-Riemannian manifolds with many Killing spinors
Journal Article · Mon Feb 02 00:00:00 EST 2009 · AIP Conference Proceedings · OSTI ID:22365967

On the holonomy of the Coulomb connection over manifolds with boundary
Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Journal of Mathematical Physics · OSTI ID:22365967

Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory
Journal Article · Sun May 01 00:00:00 EDT 2005 · Journal of Mathematical Physics · OSTI ID:22365967