Some curvature properties of Cartan spaces with mth root metrics |
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Authors: | Akbar Tayebi Ali Nankali Esmaeil Peyghan |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran 2. Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
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Abstract: | In this paper, we define some non-Riemannian curvature properties for Cartan spaces. We consider a Cartan space with the mth root metric. We prove that every mth root Cartan space of isotropic Landsberg curvature, or isotropic mean Landsberg curvature, or isotropic mean Berwald curvature reduces to a Landsberg, weakly Landsberg, and weakly Berwald spaces, respectively. Then we show that the mth root Cartan space of almost vanishing H-curvature satisfies H?=?0. |
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