On the invariant surface area functionals in 3-dimensional CR geometry
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908769244413952 |
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| author | Ho, Pak Tung |
| author_facet | Ho, Pak Tung |
| contents | Cheng, Yang, and Zhang have studied two invariant surface area functionals in 3-dimensional CR manifolds. They deduced the Euler-Lagrange equations of the associated energy functionals when the 3-dimensional CR manifold has constant Webster curvature and vanishing torsion. In this paper, we deduce the Euler-Lagrange equations of the energy functionals in a more general 3-dimensional CR manifold. Moreover, we study the invariant area functionals on the disk bundle, on the Rossi sphere, and on 3-dimensional tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the invariant surface area functionals in 3-dimensional CR geometry Ho, Pak Tung Differential Geometry Primary 32V05, Secondary 32V20 Cheng, Yang, and Zhang have studied two invariant surface area functionals in 3-dimensional CR manifolds. They deduced the Euler-Lagrange equations of the associated energy functionals when the 3-dimensional CR manifold has constant Webster curvature and vanishing torsion. In this paper, we deduce the Euler-Lagrange equations of the energy functionals in a more general 3-dimensional CR manifold. Moreover, we study the invariant area functionals on the disk bundle, on the Rossi sphere, and on 3-dimensional tori. |
| title | On the invariant surface area functionals in 3-dimensional CR geometry |
| topic | Differential Geometry Primary 32V05, Secondary 32V20 |
| url | https://arxiv.org/abs/2510.02632 |