2024/104/3-4 (3)
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DOI: 10.5486/PMD.2024.9612
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pp. 315-327
Finsler warped product metrics with relatively isotropic mean Landsberg curvature
Authors:
Mehran Gabrani 
, Bahman Rezaei and Esra Sengelen Sevim
Abstract:
In this paper, we study Finsler warped product metrics with relatively isotropic mean Landsberg curvature. Moreover, we classify the class of Douglas-type Finsler warped product metrics with relatively isotropic Landsberg curvature. This study then proves that Douglas-type Finsler warped product metrics with relatively isotropic Landsberg curvature must be either Berwald metrics or Randers metrics.
Keywords: Douglas metric, Finsler warped product metric, mean Landsberg curvature, isotropic Landsberg curvature
Mathematics Subject Classification: 53B40, 53C60