On the Pontrjagin classes of spray manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929707801378816 |
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| author | Shen, Zhongmin Zhao, Runzhong |
| author_facet | Shen, Zhongmin Zhao, Runzhong |
| contents | Locally projectively flat metrics (or sprays) form a rich class of metrics (or sprays) in Finsler and spray geometry. The characterization of such metrics is the Hilbert Fourth Problem in the regular case. In this paper we study the Pontrjagin classes of a manifold given a spray structure, and show that a manifold equipped with a locally projectively flat Finsler metric (or spray) has zero Pontrjagin classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_16435 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Pontrjagin classes of spray manifolds Shen, Zhongmin Zhao, Runzhong Differential Geometry Locally projectively flat metrics (or sprays) form a rich class of metrics (or sprays) in Finsler and spray geometry. The characterization of such metrics is the Hilbert Fourth Problem in the regular case. In this paper we study the Pontrjagin classes of a manifold given a spray structure, and show that a manifold equipped with a locally projectively flat Finsler metric (or spray) has zero Pontrjagin classes. |
| title | On the Pontrjagin classes of spray manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2211.16435 |