On the scalar curvature of Kropina metrics. I

zbMATH Open1548.53024MaRDI QIDQ6551730

Hongmei Zhu, Lumin Song

Publication date: 7 June 2024

Published in: Houston Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Yamabe problemFinsler metricsKropina metricsweakly isotropic scalar curvature

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• On Kropina metrics of scalar flag curvature
• On Einstein-Kropina metrics
• On Ricci tensors of Randers metrics
• Finsler metrics of weakly isotropic flag curvature
• Ricci Curvature Tensor and Non-Riemannian Quantities
• On generalized 4-th root metrics of isotropic scalar curvature
• On Randers metrics of isotropic scalar curvature
• On conformally flat polynomial $(\alpha,\beta)$-metrics with weakly isotropic scalar curvature

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