On H-curvature of Finsler warped product metrics

Sevim, Esra; Gabrani, Mehran

doi:10.22098/jfga.2020.1008

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	On H-curvature of Finsler warped product metrics
Journal of Finsler Geometry and its Applications
دوره 1، شماره 1، مهر 2020، صفحه 37-44 اصل مقاله (85.41 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1008
نویسندگان
Esra sevim¹؛ Mehran Gabrani²
¹Department of mathematics, Istanbul Bilgi University, Istanbul, Turkey. E-mail: esra.sengelen@bilgi.edu.tr
²Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. E-mail: m.gabrani@urmia.ac.ir
چکیده
In this paper, we study the H-curvature, an important non-Riemannian quantity, for a rich and important class of Finsler metrics called Finsler warped product metrics. We find an equation that characterizes the metrics of almost vanishing H-curvature. Further, we show that, if F is a Finsler warped product metric, then the H-curvature vanishes if and only if the Χ-curvature vanishes.
کلیدواژه‌ها
Finsler metrics؛ warped product metrics؛ H-curvature

مراجع
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On H-curvature of Finsler warped product metrics