Parallel surfaces in the real special linear group \(\operatorname{SL}(2,\mathbb{R})\). (English) Zbl 1007.53047
It is proved that the only parallel surfaces in the real special linear group \(\text{SL}(2,\mathbb{R})\) are rotational surfaces with constant mean curvature.
Reviewer: Liu Hui-Li (Shenyang)
MSC:
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53D10 | Contact manifolds (general theory) |
References:
| [1] | DOI: 10.1016/S1874-5741(00)80010-2 · doi:10.1016/S1874-5741(00)80010-2 |
| [2] | DOI: 10.1007/BF01610616 · Zbl 0799.53040 · doi:10.1007/BF01610616 |
| [3] | Inoguchi, Fukuoka Univ. Sci. Rep. 30 pp 131– (2000) |
| [4] | Kokubu, Tokyo J. Math. 20 pp 287– (1997) |
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