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Minimal cylinders in the three-dimensional Heisenberg group
| Title: | Minimal cylinders in the three-dimensional Heisenberg group |
| Authors: | Kobayashi, Shimpei Browse this author |
| Keywords: | Primary 53A10 | | 58E20 | | Secondary 53C42 |
| Issue Date: | Mar-2024 |
| Publisher: | Springer |
| Journal Title: | Mathematische annalen |
| Volume: | 388 |
| Issue: | 3 |
| Start Page: | 3299 |
| End Page: | 3317 |
| Publisher DOI: | 10.1007/s00208-023-02610-0 |
| Abstract: | We study minimal cylinders in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method. We characterize all non-vertical minimal cylinders in terms of pairs of two closed plane curves which have the same signed area. Moreover, as a byproduct of the construction, spacelike CMC cylinders in the three-dimensional Minkowski space can also be obtained. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00208-023-02610-0 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/91380 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小林 真平
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