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A class of Finsler metrics with bounded non-Riemannian curvatures
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نویسنده
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hedayatian s. ,izadian n. ,yar ahmadi m.
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منبع
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journal of finsler geometry and its applications - 2021 - دوره : 2 - شماره : 1 - صفحه:40 -50
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چکیده
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In this paper, we find a necessary and sufficient condition for a class of finsler metrics defined by a riemannian metric and a 1-form on a manifold which has bounded mean cartan torsion. moreover, we obtain a necessary and sufficient condition under which the above mentioned class of finsler metrics has bounded mean landsberg curvature. next, we investigate these metrics with bounded mean cartan torsion and mean landsberg curvature. furthermore, we give explicit examples of this type of metrics.
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کلیدواژه
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(α ,β)-metric-metric ,Cartan torsion ,mean Cartan torsion ,Landsberg curvature ,mean Landsberg curvature
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آدرس
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shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, Iran, shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, Iran, shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, Iran
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Authors
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