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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.16615 |
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| _version_ | 1866915673466208256 |
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| author | Chandra, Ajay Singh, Harprit |
| author_facet | Chandra, Ajay Singh, Harprit |
| contents | We introduce a notion of distributional $k$-forms on $d$-dimensional manifolds which can be integrated against suitably regular $k$-submanifolds. Our approach combines ideas from Whitney's geometric integration [Whi57] with those of sewing approaches to rough integration [Gub04, FdLP06]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rough geometric integration Chandra, Ajay Singh, Harprit Differential Geometry Functional Analysis We introduce a notion of distributional $k$-forms on $d$-dimensional manifolds which can be integrated against suitably regular $k$-submanifolds. Our approach combines ideas from Whitney's geometric integration [Whi57] with those of sewing approaches to rough integration [Gub04, FdLP06]. |
| title | Rough geometric integration |
| topic | Differential Geometry Functional Analysis |
| url | https://arxiv.org/abs/2405.16615 |