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Kozma, Laszlo, Abbas, Sameer. (1401). On new classes of stretch Finsler metrics. سامانه مدیریت نشریات علمی, 3(1), 86-99. doi: 10.22098/jfga.2022.10115.1058
Laszlo Kozma; Sameer Annon Abbas. "On new classes of stretch Finsler metrics". سامانه مدیریت نشریات علمی, 3, 1, 1401, 86-99. doi: 10.22098/jfga.2022.10115.1058
Kozma, Laszlo, Abbas, Sameer. (1401). 'On new classes of stretch Finsler metrics', سامانه مدیریت نشریات علمی, 3(1), pp. 86-99. doi: 10.22098/jfga.2022.10115.1058
Kozma, Laszlo, Abbas, Sameer. On new classes of stretch Finsler metrics. سامانه مدیریت نشریات علمی, 1401; 3(1): 86-99. doi: 10.22098/jfga.2022.10115.1058

On new classes of stretch Finsler metrics

Journal of Finsler Geometry and its Applications
مقاله 8، دوره 3، شماره 1، مهر 2022، صفحه 86-99    اصل مقاله (108.58 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.10115.1058
نویسندگان
Laszlo Kozma* 1؛ Sameer Annon Abbas2
1Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
2Doctoral School of Mathematical and Computational Sciences, Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
چکیده
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).
کلیدواژه‌ها
stretch curvature؛ complete stretch metric؛ Berwald curvature؛ H-curvature؛ relatively isotropic stretch curvature
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