|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group
| Title: | Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group |
| Authors: | Kiyohara, Hirotaka Browse this author | | Kobayashi, Shimpei Browse this author →KAKEN DB |
| Keywords: | Minimal surfaces | | Heisenberg group | | Timelike surfaces | | Loop groups | | The generalized Weierstrass type representation |
| Issue Date: | Aug-2022 |
| Publisher: | Springer |
| Journal Title: | Journal of Geometric Analysis |
| Volume: | 32 |
| Issue: | 8 |
| Start Page: | 225 |
| Publisher DOI: | 10.1007/s12220-022-00962-8 |
| Abstract: | Timelike surfaces in the three-dimensional Heisenberg group with left-invariant semi-Riemannian metric are studied. In particular, non-vertical timelike minimal surfaces are characterized by the non-conformal Lorentz harmonic maps into the de Sitter two sphere. On the basis of the characterization, the generalized Weierstrass type representation will be established through the loop group decompositions. |
| 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/s12220-022-00962-8 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/90277 |
| 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)
|
Submitter: 小林 真平
|
