Area of intrinsic graphs in homogeneous groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910056522448896 |
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| author | Corni, Francesca Magnani, Valentino |
| author_facet | Corni, Francesca Magnani, Valentino |
| contents | We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the intrinsic graph is continuously intrinsically differentiable. The main novelty is a notion of Jacobian defined using an auxiliary scalar product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06638 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Area of intrinsic graphs in homogeneous groups Corni, Francesca Magnani, Valentino Metric Geometry We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the intrinsic graph is continuously intrinsically differentiable. The main novelty is a notion of Jacobian defined using an auxiliary scalar product. |
| title | Area of intrinsic graphs in homogeneous groups |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2311.06638 |