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Laurian-Ioan, Piscoran, Amini, Marzeiya. (1400). On conformally flat square-root (α,β)-metrics. سامانه مدیریت نشریات علمی, 2(2), 89-102. doi: 10.22098/jfga.2021.9503.1049
Piscoran Laurian-Ioan; Marzeiya Amini. "On conformally flat square-root (α,β)-metrics". سامانه مدیریت نشریات علمی, 2, 2, 1400, 89-102. doi: 10.22098/jfga.2021.9503.1049
Laurian-Ioan, Piscoran, Amini, Marzeiya. (1400). 'On conformally flat square-root (α,β)-metrics', سامانه مدیریت نشریات علمی, 2(2), pp. 89-102. doi: 10.22098/jfga.2021.9503.1049
Laurian-Ioan, Piscoran, Amini, Marzeiya. On conformally flat square-root (α,β)-metrics. سامانه مدیریت نشریات علمی, 1400; 2(2): 89-102. doi: 10.22098/jfga.2021.9503.1049

On conformally flat square-root (α,β)-metrics

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 89-102    اصل مقاله (107.18 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.9503.1049
نویسندگان
Piscoran Laurian-Ioan1؛ Marzeiya Amini* 2
1Department of Mathematics and Computer Science, Victoriei 76 North University, Center of Baia Mare, Technical University of Cluj Napoca, 430122 Baia Mare, Romania. Laurian.PISCORAN@mi.utcluj.ro
2Department of Mathematics, Faculty of science, University of Qom, Iran. marzeia.amini@gmail.com
چکیده
Let F = √α(α + β) be a conformally flat square-root (α; β)-metric on a manifold M of dimension n ≥ 3, where α = √aij(x)yiyj is a Riemannian metric and β = bi(x)yi is a 1-form on M. Suppose that F has relatively isotropic mean Landsberg curvature. We show that F reduces to a Riemannian
metric or a locally Minkowski metric.
کلیدواژه‌ها
square-root metric, (α؛ β)-metric, conformally flat metric, relatively isotropic mean Landsberg curvature
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