The CR-Volume of Horizontal Submanifolds of Spheres
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914646960635904 |
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| author | Bernstein, Jacob Bhattacharya, Arunima |
| author_facet | Bernstein, Jacob Bhattacharya, Arunima |
| contents | We study an analog in CR-geometry of the conformal volume of Li-Yau. In particular, to submanifolds of odd-dimensional spheres that are Legendrian or, more generally, horizontal with respect to the sphere's standard CR-structure we associate a quantity that is invariant under the CR-automorphisms of the sphere. We apply this concept to a corresponding notion of Willmore energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The CR-Volume of Horizontal Submanifolds of Spheres Bernstein, Jacob Bhattacharya, Arunima Differential Geometry We study an analog in CR-geometry of the conformal volume of Li-Yau. In particular, to submanifolds of odd-dimensional spheres that are Legendrian or, more generally, horizontal with respect to the sphere's standard CR-structure we associate a quantity that is invariant under the CR-automorphisms of the sphere. We apply this concept to a corresponding notion of Willmore energy. |
| title | The CR-Volume of Horizontal Submanifolds of Spheres |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.11357 |