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On GDW-Randers metrics on tangent Lie groups | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 4، دوره 2، شماره 1، اردیبهشت 2021، صفحه 27-36 اصل مقاله (344.63 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2020.18572.1038 | ||
| نویسندگان | ||
| Mona Atashafrouz1؛ Behzad Najafi* 1؛ Akbar Tayebi2 | ||
| 1Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Left-invariant metric؛ Douglas metric؛ Generalized Douglas-Weyl Metrics؛ Randers metric | ||
| مراجع | ||
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