Diffeological Smoothness in Hodge Theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2009
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916362072358912 |
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| author | Li, Jiayong |
| author_facet | Li, Jiayong |
| contents | On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem associates a smooth primitive to any exact smooth form omega. In this paper, we show that given a smooth family of exact smooth forms omega(t), the family of associated primitives is also a smooth family with respect to t. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0911_3152 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Diffeological Smoothness in Hodge Theory Li, Jiayong Differential Geometry Symplectic Geometry On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem associates a smooth primitive to any exact smooth form omega. In this paper, we show that given a smooth family of exact smooth forms omega(t), the family of associated primitives is also a smooth family with respect to t. |
| title | Diffeological Smoothness in Hodge Theory |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/0911.3152 |