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

Document Type : Original Article


DST-CIMS, Banaras Hindu University, Varanasi-221005, India


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.


Main Subjects

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