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

نویسندگان
Shriwastawa, Anjali ID 1
Gangopadhyay, Ranadip ID 2
Tiwari, Bankteshwar ID 3

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

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

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

doi
10.22060/ajmc.2021.19817.1052
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