Foliation by G-orbits

Foliation by G-orbits

We study the properties of the normal bundle defined by the bundle of the G-orbits of the action of a semisimple Lie group G on a pseudo Riemannian manifold M, as a consequence we obtain that the foliation induced by the normal bundle is integrable and totally geodesic.

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2015-01, Vol.33 (2), p.79-87
1. Verfasser: Rosales-Ortega, Jose
Format: Artikel
Sprache:eng
Schlagworte:
Foliations
local freeness
semisimple Lie groups
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Beschreibung
Zusammenfassung:We study the properties of the normal bundle defined by the bundle of the G-orbits of the action of a semisimple Lie group G on a pseudo Riemannian manifold M, as a consequence we obtain that the foliation induced by the normal bundle is integrable and totally geodesic.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v33i2.19628