Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ISOTROPIC MEAN BERWALD FINSLER WARPED PRODUCT METRICS

  • Mehran Gabrani (Department of Mathematics Faculty of Science Urmia University) ;
  • Bahman Rezaei (Department of Mathematics Faculty of Science Urmia University ) ;
  • Esra Sengelen Sevim (Department of Mathematics Istanbul Bilgi University)
  • Received : 2022.11.24
  • Accepted : 2023.02.10
  • Published : 2023.11.30
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Abstract

It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension n ≥ 2 is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.

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References

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