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On new classes of stretch Finsler metrics
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نویسنده
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abbas sameer annon ,kozma laszlo
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منبع
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journal of finsler geometry and its applications - 2022 - دوره : 3 - شماره : 1 - صفحه:86 -99
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چکیده
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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).
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کلیدواژه
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stretch curvature ,complete stretch metric ,Berwald curvature ,H-curvature ,relatively isotropic stretch curvature
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آدرس
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university of debrecen, school of mathematical and computational sciences, institute of mathematics, Hungary, university of debrecen, institute of mathematics, Hungary
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پست الکترونیکی
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kozma@unideb.hu
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Authors
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