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New examples of Finsler geodesic orbit metrics on compact Lie groups

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Publication:6670798
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DOI10.12386/b20220474MaRDI QIDQ6670798

Huihui An, Zaili Yan

Publication date: 24 January 2025

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




zbMATH Keywords

compact Lie group\((\alpha_1,\alpha_2)\)-metricFinsler geodesic orbit space


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)


Cites Work

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  • Finsler spaces whose geodesics are orbits
  • Homogeneous geodesics in homogeneous Finsler spaces
  • \((\alpha_1,\alpha_2)\)-metrics and Clifford-Wolf homogeneity
  • Homogeneous Finsler Spaces
  • Some Finsler spaces with homogeneous geodesics
  • Invariant Finsler metrics on homogeneous manifolds
  • Riemannian Manifolds and Homogeneous Geodesics
  • Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property







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