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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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