The Relation Between Automorphism Group and Isometry Group of Left Invariant (α,β)-metrics
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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JR_JFGA-4-1_008
تاریخ نمایه سازی: 17 آبان 1402
Abstract:
Let F be an (α,β)-metric which is defined by a left invariant vector field and a left invariant Riemannian metric on a simply connected real Lie group G. We consider the automorphism and isometry groups of the Finsler manifold (G,F) and their intersection. We prove that for an arbitrary left invariant vector field X and any compact subgroup K of automorphisms which X is invariant under them, there exists an (α,β)-metric such that K is a subgroup of its isometry group.
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Authors
Hamid Reza Salimi Moghaddam
Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, ۸۱۷۴۶-۷۳۴۴۱-Iran.
Masumeh Nejadahmad
Department of Mathematics, Isfahan University of Technology, Iran.