On Finsler warped product metrics with vanishing $E$-curvature

Document Type : Original Article

Authors

1 Banaras Hindu University, Varanasi

2 DST-Centre For Interdisciplinary Mathematical Sciences BANARAS HINDU UNIVERSITY, Varanasi

Abstract

In this paper, we study Finsler warped product metrics recently introduced by P. Marcal and Z. Shen and find characteristics differential equations for this metric to vanish $E$-curvature. We also prove that if this warped product Finsler metric is projectively flat, then it becomes a Riemannian metric.

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