We study a relation between certain extensions of the Clifford bundle and Finsler type structures that naturally generalize the standard Clifford relation between (pseudo)-Riemannian metric structures and Dirac matrices. We show for flat metrics that there is a triangle map between Finsler structures constructed from a (pseudo)-Riemannian metric and 1-forms on M, the extension of the Clifford bundle and relevant Dirac type operators.

中文翻译：

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关于 Clifford 束和某些 Finsler 类型空间的注释

我们研究了克利福德束的某些扩展与芬斯勒类型结构之间的关系，这些结构自然地概括了（伪）-黎曼度量结构和狄拉克矩阵之间的标准克利福德关系。我们展示了平面度量，在由（伪）-黎曼度量和构造的 Finsler 结构之间存在三角形映射。1- 表格上米，克利福德束的扩展和相关的狄拉克类型算子。