On the geometry of Riemannian manifolds with a lie structure at infinity

Bernd Ammann; Robert Lauter; Victor Nistor

doi:10.1155/s0161171204212108

On the geometry of Riemannian manifolds with a lie structure at infinity

Bernd Ammann, Robert Lauter, Victor Nistor

Mathematics

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	161-193
Number of pages	33
Journal	International Journal of Mathematics and Mathematical Sciences
Issue number	1-4
DOIs	https://doi.org/10.1155/s0161171204212108
State	Published - Jan 1 2004

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1155/s0161171204212108

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abstract = "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.",

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On the geometry of Riemannian manifolds with a lie structure at infinity

Abstract

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