ON THE GEOMETRY OF RIEMANNIAN MANIFOLDS WITH A LIE STRUCTURE AT INFINITY

We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. We also prove that the geometric operators are generated by the given Lie algebra of vector fields. This is the first one in a series of...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2004-01, Vol.2004 (4), p.161-193-013
Main Authors: Ammann, Bernd, Lauter, Robert, Nistor, Victor
Format: Article
Language:English
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Summary:We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. We also prove that the geometric operators are generated by the given Lie algebra of vector fields. This is the first one in a series of papers devoted to the study of the analysis of geometric differential operators on manifolds with Lie structure at infinity.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171204212108