On GDW-Randers metrics on tangent Lie groups
Let $G$ be a Lie group equipped with a left-invariant Randers metric $F$. Suppose that $F^v$ and $F^c$ denote the vertical and complete lift of $F$ on $TG$, respectively. We give the necessary and sufficient conditions under which $F^v$ and $F^c$ are generalized Douglas-Weyl metrics. Then, we charac...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Amirkabir University of Technology
2021-02-01
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Series: | AUT Journal of Mathematics and Computing |
Subjects: | |
Online Access: | https://ajmc.aut.ac.ir/article_4160_a7fc31b063685455f8fddb080aaffa75.pdf |
Summary: | Let $G$ be a Lie group equipped with a left-invariant Randers metric $F$. Suppose that $F^v$ and $F^c$ denote the vertical and complete lift of $F$ on $TG$, respectively. We give the necessary and sufficient conditions under which $F^v$ and $F^c$ are generalized Douglas-Weyl metrics. Then, we characterize all 2-step nilpotent Lie groups $G$ such that their tangent Lie groups $(TG, F^c)$ are generalized Douglas-Weyl Randers metrics. |
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ISSN: | 2783-2449 2783-2287 |