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On Finsler warped product metrics with vanishing $E$-curvature | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 2، شماره 2، آذر 2021، صفحه 137-142 اصل مقاله (316.27 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2021.19817.1052 | ||
| نویسندگان | ||
| Ranadip Gangopadhyay؛ Anjali Shriwastawa؛ Bankteshwar Tiwari* | ||
| DST-CIMS, Banaras Hindu University, Varanasi-221005, India | ||
| چکیده | ||
| In this paper, we study Finsler warped product metric recently introduced by P. Marcal and Z. Shen and find characteristics differential equations for this metric to have vanishing $E$-curvature. We also prove that if this warped product Finsler metric is projectively flat, then it becomes a Riemannian metric. | ||
| کلیدواژه‌ها | ||
| Finsler metrics؛ Warped product؛ $E$-curvature؛ Projectively flat | ||
| مراجع | ||
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