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A note on Clifford bundles and certain Finsler type spaces
International Journal of Geometric Methods in Modern Physics ( IF 2.1 ) Pub Date : 2021-07-16 , DOI: 10.1142/s0219887821501620
Ricardo Gallego Torromé 1
Affiliation  

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:

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,克利福德束的扩展和相关的狄拉克类型算子。
更新日期:2021-07-16
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