On sprays with vanishing χ-curvature

DOI10.1142/S0129167X21500695zbMath1485.53093arXiv2008.07732OpenAlexW3169756696MaRDI QIDQ5157420

Zhong-min Shen

Publication date: 18 October 2021

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

Full work available at URL: https://arxiv.org/abs/2008.07732

zbMATH Keywords

isotropic curvaturesprays\(\chi\)-curvature and \(S\)-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)

Related Items (11)

On projective invariants of general spherically symmetric Finsler spaces in \(\mathbb{R}^n\) ⋮ On projective Riemann curvature ⋮ Some projectively Ricci-flat (\(\alpha, \beta \))-metrics ⋮ On some Ricci curvature tensors in Finsler geometry ⋮ On strongly Ricci-quadratic Finsler metrics ⋮ On sprays of scalar curvature and metrizability ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new quantity in Finsler geometry ⋮ The characterizations and constructions of sprays of isotropic curvature ⋮ First integrals for Finsler metrics with vanishing \(\chi\)-curvature

Cites Work

• Finsler manifolds with nonpositive flag curvature and constant S-curvature
• Riemann-Finsler geometry with applications to information geometry
• Ricci Curvature Tensor and Non-Riemannian Quantities
• Sprays of isotropic curvature
• On Some Non-Riemannian Quantities in Finsler Geometry
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