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Salimi Moghaddam, Hamid Reza, Abedi Karimi, Hossein, Nasehi, Mehri. (1399). Douglas (α,β)-metrics on four-dimensional nilpotent Lie groups. سامانه مدیریت نشریات علمی, 1(2), 15-26. doi: 10.22098/jfga.2020.1236
Hamid Reza Salimi Moghaddam; Hossein Abedi Karimi; Mehri Nasehi. "Douglas (α,β)-metrics on four-dimensional nilpotent Lie groups". سامانه مدیریت نشریات علمی, 1, 2, 1399, 15-26. doi: 10.22098/jfga.2020.1236
Salimi Moghaddam, Hamid Reza, Abedi Karimi, Hossein, Nasehi, Mehri. (1399). 'Douglas (α,β)-metrics on four-dimensional nilpotent Lie groups', سامانه مدیریت نشریات علمی, 1(2), pp. 15-26. doi: 10.22098/jfga.2020.1236
Salimi Moghaddam, Hamid Reza, Abedi Karimi, Hossein, Nasehi, Mehri. Douglas (α,β)-metrics on four-dimensional nilpotent Lie groups. سامانه مدیریت نشریات علمی, 1399; 1(2): 15-26. doi: 10.22098/jfga.2020.1236

Douglas (α,β)-metrics on four-dimensional nilpotent Lie groups

Journal of Finsler Geometry and its Applications
دوره 1، شماره 2، اسفند 2020، صفحه 15-26    اصل مقاله (100.08 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1236
نویسندگان
Hamid Reza Salimi Moghaddam* 1؛ Hossein Abedi Karimi2؛ Mehri Nasehi3
1Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, 81746-73441-Iran. Email: salimi.moghaddam@gmail.com
2Department of Mathematics, Isfahan University of Technology, Isfahan, 84156-83111-Iran. Email:hossein.abedikarimi@gmail.com
3Faculty of Basic Sciences, University of Shahreza, P. O. Box: 86149- 56841, Shahreza, Iran. Email: nasehi.mehri@gmail.com
چکیده
In this paper, we give a classification of left-invariant Douglas and Berwald (α,β)-metrics on simply connected four-dimensional nilpotent Lie groups. We show that there are not any bi-invariant Randers metrics on four-dimensional nilpotent Lie groups. Then, we explicitly give the flag curvature formulas and geodesic vectors of these spaces. Finally, we give the formula of S-curvature of left-invariant Randers metrics of Douglas type.
کلیدواژه‌ها
nilpotent Lie group؛ Riemannian metric؛ (α,β)-metric؛ flag curvature
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