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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204212108 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549293138903040 |
|---|---|
| author | Bernd Ammann Robert Lauter Victor Nistor |
| author_facet | Bernd Ammann Robert Lauter Victor Nistor |
| author_sort | Bernd Ammann |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-211d354c87844b3a969664e44168cccf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-211d354c87844b3a969664e44168cccf2025-02-03T06:11:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004416119310.1155/S0161171204212108On the geometry of Riemannian manifolds with a Lie structure at infinityBernd Ammann0Robert Lauter1Victor Nistor2Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, Hamburg D-20146, GermanyFachbereich Mathematik, Universität Mainz, Mainz D-55099, GermanyDepartment of Mathematics, Pennsylvania State University, University Park, PA 16802, USAWe 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.http://dx.doi.org/10.1155/S0161171204212108 |
| spellingShingle | Bernd Ammann Robert Lauter Victor Nistor On the geometry of Riemannian manifolds with a Lie structure at infinity International Journal of Mathematics and Mathematical Sciences |
| title | On the geometry of Riemannian manifolds with a Lie structure at infinity |
| title_full | On the geometry of Riemannian manifolds with a Lie structure at infinity |
| title_fullStr | On the geometry of Riemannian manifolds with a Lie structure at infinity |
| title_full_unstemmed | On the geometry of Riemannian manifolds with a Lie structure at infinity |
| title_short | On the geometry of Riemannian manifolds with a Lie structure at infinity |
| title_sort | on the geometry of riemannian manifolds with a lie structure at infinity |
| url | http://dx.doi.org/10.1155/S0161171204212108 |
| work_keys_str_mv | AT berndammann onthegeometryofriemannianmanifoldswithaliestructureatinfinity AT robertlauter onthegeometryofriemannianmanifoldswithaliestructureatinfinity AT victornistor onthegeometryofriemannianmanifoldswithaliestructureatinfinity |