Aslan, B;
(2023)
Special Lagrangians in nearly Kähler CP^{3}.
Journal of Geometry and Physics
, 184
, Article 104713. 10.1016/j.geomphys.2022.104713.
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Abstract
This article explores special Lagrangian submanifolds in CP^{3}, viewed as a nearly Kähler manifold, from two different perspectives. Intrinsically, using a moving frame set-up, and extrinsically, using SU(2) moment-type maps. We describe new homogeneous examples, from both perspectives, and classify totally geodesic special Lagrangian submanifolds. We show that every special Lagrangian in CP^{3}, or the flag manifold F_{1,2}(C^{3}) admitting a symmetry of an SU(2) subgroup of nearly Kähler automorphisms is automatically homogeneous.
| Type: | Article |
|---|---|
| Title: | Special Lagrangians in nearly Kähler CP^{3} |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.geomphys.2022.104713 |
| Publisher version: | https://doi.org/10.1016/j.geomphys.2022.104713 |
| Language: | English |
| Additional information: | © 2022 The Author(s). Published by Elsevier B.V. under a Creative Commons license (https://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Nearly Kähler manifolds, Lagrangian submanifolds, Moment maps, Moving frames, Angle function |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS 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 |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10162356 |
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