جستجوی مقالات مرتبط با کلیدواژه « Berwald Curvature » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه «Berwald Curvature» در نشریات گروه «علوم پایه»-
Finsler manifolds some of whose characteristic tensors are direction independent provide stimulation for current research. In this paper, we show that the direction independence of the mean Landsberg tensor implies the vanishing of these tensor.
Keywords: Mean Landsberg Curvature, Landsberg Curvature, Berwald Curvature, S-Curvature} -
In this paper, we study the conformal transformation of some important and effective non-Riemannian curvatures in Finsler Geometry. We find the necessary and sufficient condition under which the conformal transformation preserves the Berwald curvature B, mean Berwald curvature E, Landsberg curvature L, mean Landsberg curvature J, and the non-Riemannian curvature H.
Keywords: Berwald curvature, mean Berwald curvature, Landsberg curvature, mean Landsberg curvature, the quantity H} -
In this paper, we introduce two classes of stretch Finsler metrics. A Finsler metric with vanishing stretch B∼-curvature ( stretch H-curvature) is called B∼-stretch (H-stretch) metric (respectively). The class of B∼-stretch (H-stretch) metric contain the class of Berwald (weakly Berwald) metric (respectively). First, we show that every complete B∼-stretch metric (H-stretch metric) is a B∼-metric (H-metric). Then we prove that every compact Finsler manifold with non-negative (non-positive) relatively isotropic stretch B∼-curvature (stretch H-curvature) is B∼-metric (H-metric).Keywords: stretch curvature, complete stretch metric, Berwald curvature, $ textbf{H} $-curvature, relatively isotropic stretch curvature}
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In this paper, we are going to consider a class of (α, β)-metrics which introduced by Matsumoto. We find a condition under which a Matsumoto metric of almost vanishing H-curvature reduces to a Berwald metric.Keywords: Matsumoto metric, Almost vanishing ${bf H}$-curvature, Berwald curvature}
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