Flat Deformations of a Semi-Riemannian Metric Admitting a Symmetry Group

Flat Deformations of a Semi-Riemannian Metric Admitting a Symmetry Group

The submersion of a 4-dimensional semi-Riemannian manifold having a 1-parameter group of isometries onto the quotient manifold is studied. It is applied to prove that a 4-dimensional Lorentzian metric admitting such a group can be deformed into a flat metric having the same isometries.

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Bibliographische Detailangaben
Hauptverfasser: Carot, J, Llosa, J
Format: Tagungsbericht
Sprache:eng
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Beschreibung
Zusammenfassung:The submersion of a 4-dimensional semi-Riemannian manifold having a 1-parameter group of isometries onto the quotient manifold is studied. It is applied to prove that a 4-dimensional Lorentzian metric admitting such a group can be deformed into a flat metric having the same isometries.
ISSN:0094-243X
DOI:10.1063/1.2958164