The characterizations and constructions of sprays of isotropic curvature

DOI10.1007/S10114-022-1120-8zbMath1504.53037OpenAlexW4304701261MaRDI QIDQ2084827

Ke Xiang Cao, Chun Yan Qing, Xin Yue Cheng

Publication date: 13 October 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1120-8

zbMATH Keywords

sprayS-curvatureFunk metric\(\chi\)-curvaturespray of isotropic 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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• Some classes of sprays in projective spray geometry
• A comparison theorem on the Ricci curvature in projective geometry
• Ricci Curvature Tensor and Non-Riemannian Quantities
• Sprays of isotropic curvature
• On Some Non-Riemannian Quantities in Finsler Geometry
• On sprays with vanishing χ-curvature

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