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- Title
The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups.
- Authors
Salimi Moghaddam, Hamid
- Abstract
In this paper we consider simply connected Lie groups equipped with left invariant Randers metrics which arise from left invariant Riemannian metrics and left invariant vector fields. Then we study the intersection between automorphism and isometry groups of these spaces. Finally it has shown that for any left invariant vector field, in a special case, the Lie group admits a left invariant Randers metric such that this intersection is a maximal compact subgroup of the group of automorphisms with respect to which the considered vector field is invariant.
- Publication
Results in Mathematics / Resultate der Mathematik, 2012, Vol 61, Issue 1/2, p137
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-010-0081-x