Tohoku Mathematical Journal
2023
June
SECOND SERIES VOL. 75, NO. 2

Tohoku Math. J.
75 (2023), 283-298

Title ON A CLASS OF FINSLER METRICS OF QUADRATIC WEYL CURVATURE

Author Mehran Gabrani, Esra Sengelen Sevim and Zhongmin Shen

(Received August 23, 2021, revised January 4, 2022)
Abstract. The class of warped product manifolds plays an important role in differential geometry and physics. In this paper, we shall study product manifolds $\mathbb{R} \times M$ with Finsler metrics arising from warped product structure. We give an equivalent condition for those metrics to be of quadratic Weyl curvature.

Mathematics Subject Classification. Primary 53B40; Secondary 53C60.
Key words and phrases. Finsler warped product metrics, Weyl curvature, $W$-quadratic metrics.

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