Metric polynomial structures on generalized geometry
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866908458088923136 |
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| author | Etayo, Fernando Gómez-Nicolás, Pablo Santamaría, Rafael |
| author_facet | Etayo, Fernando Gómez-Nicolás, Pablo Santamaría, Rafael |
| contents | In this document, we study the interaction between different geometric structures that can be defined as morphisms of sections of the generalized tangent bundle $\mathbb TM:= TM\oplus T^*M\to M$. In particular, we show the behaviour of various generalized polynomial structures with respect to different metrics on $\mathbb TM$, in the frame of $(α, \varepsilon)$-metric structures; and the commutation or anti-commutation of generalized polynomial structures, forming triple structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_02754 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Metric polynomial structures on generalized geometry Etayo, Fernando Gómez-Nicolás, Pablo Santamaría, Rafael Differential Geometry 53D18, 53C15, 53D05 In this document, we study the interaction between different geometric structures that can be defined as morphisms of sections of the generalized tangent bundle $\mathbb TM:= TM\oplus T^*M\to M$. In particular, we show the behaviour of various generalized polynomial structures with respect to different metrics on $\mathbb TM$, in the frame of $(α, \varepsilon)$-metric structures; and the commutation or anti-commutation of generalized polynomial structures, forming triple structures. |
| title | Metric polynomial structures on generalized geometry |
| topic | Differential Geometry 53D18, 53C15, 53D05 |
| url | https://arxiv.org/abs/2204.02754 |