Aslan, B;
(2022)
Transverse J‑holomorphic curves in nearly Kähler ℂℙ3.
Annals of Global Analysis and Geometry
, 61
(1)
pp. 115-157.
10.1007/s10455-021-09806-0.
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Abstract
J-holomorphic curves in nearly Kähler CP3 are related to minimal surfaces in S4 as well as associative submanifolds in Λ-2(S4). We introduce the class of transverse J-holomorphic curves and establish a Bonnet-type theorem for them. We classify flat tori in S4 and construct moment-type maps from CP3 to relate them to the theory of U (1) -invariant minimal surfaces on S4.
| Type: | Article |
|---|---|
| Title: | Transverse J‑holomorphic curves in nearly Kähler ℂℙ3 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10455-021-09806-0 |
| Publisher version: | https://doi.org/10.1007/s10455-021-09806-0 |
| Language: | English |
| Additional information: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Nearly Kähler manifolds, J-holomorphic curves, Moving frames, Moment maps, Toda lattice |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10145716 |
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