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Information Journal Paper

Title

Rank inequality in homogeneous Finsler geometry

Author(s)

 XU MING | Issue Writer Certificate 

Pages

  171-184

Abstract

 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classi , cation of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying K ,0 and the (FP) condition, and the orbit number of prime Closed geodesics in a compact homogeneous Finsler manifold. These topics share the same similarity that the same rank inequality, i. e., rankG ,rankH +1 for G=H with compact G and H, plays an important role. In this survey, we discuss in each topic how the rank inequality is proved, explain its importance, and summarize some relevant results.

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    APA: Copy

    XU, MING. (2021). Rank inequality in homogeneous Finsler geometry. AUT JOURNAL OF MATHEMATICS AND COMPUTING, 2(2), 171-184. SID. https://sid.ir/paper/1043873/en

    Vancouver: Copy

    XU MING. Rank inequality in homogeneous Finsler geometry. AUT JOURNAL OF MATHEMATICS AND COMPUTING[Internet]. 2021;2(2):171-184. Available from: https://sid.ir/paper/1043873/en

    IEEE: Copy

    MING XU, “Rank inequality in homogeneous Finsler geometry,” AUT JOURNAL OF MATHEMATICS AND COMPUTING, vol. 2, no. 2, pp. 171–184, 2021, [Online]. Available: https://sid.ir/paper/1043873/en

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