A note on Clifford bundles and certain Finsler type spaces
| Autor: | Ricardo Gallego Torromé |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematics - Differential Geometry
High Energy Physics - Theory Pure mathematics 53B40 15A66 Physics and Astronomy (miscellaneous) Dirac (software) FOS: Physical sciences Clifford bundle Gamma matrices Mathematical Physics (math-ph) Extension (predicate logic) Mathematics - Rings and Algebras Type (model theory) Differential Geometry (math.DG) High Energy Physics - Theory (hep-th) Rings and Algebras (math.RA) Metric (mathematics) FOS: Mathematics Mathematics::Differential Geometry Mathematics::Symplectic Geometry Mathematical Physics Mathematics |
| Popis: | 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 an (pseudo)-Riemannian metric and $1$-forms on $M$, the extension of the Clifford bundle and relevant Dirac type operators. 10 pages; Accepted for publication in International Journal of Geometric Methods in Modern Physics |
| Databáze: | OpenAIRE |
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