Volume 1, Issue 2 (12-2020)                   MACO 2020, 1(2): 25-34 | Back to browse issues page

‎ 10.29252/maco.1.2.3
‎ 20.1001.1.27170624.2020.1.2.3.3

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Tayebi A, Amini M. Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature. MACO 2020; 1 (2) :25-34
URL: http://maco.lu.ac.ir/article-1-55-en.html
Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature
Akbar Tayebi * , Marzeiya Amini
Abstract:   (1868 Views)
 In this paper, we study conformally flat  4-th root (α, β)-metrics on a manifold $M$ of dimension $ngeq3$.  We prove that every conformally flat  4-th root (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics.

 
Keywords: Exponential metric, conformally flat metric, relatively isotropic mean Landsberg curvature.
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2020/12/30
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