Lagrangian submanifolds in the 6-dimensional nearly Kahler manifolds with parallel second fundamental form
| Autor: | Luc Vrancken, Xianfeng Wang, Ze Jun Hu, Yufeng Zhang, Bart Dioos |
|---|---|
| Přispěvatelé: | Zhengzhou University, Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 (LAMAV), Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Centre National de la Recherche Scientifique (CNRS)-INSA Institut National des Sciences Appliquées Hauts-de-France (INSA Hauts-De-France), Nankai University. School of Mathematical Sciences and LPMC, Nankai University, School of mathematical sciences, Nankai University (NKU)-Nankai University (NKU) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
General Physics and Astronomy Kähler manifold 01 natural sciences Computer Science::Digital Libraries symbols.namesake 0103 physical sciences 0101 mathematics [MATH]Mathematics [math] Parallel second fundamental form Mathematics::Symplectic Geometry Mathematical Physics Mathematics 53B25 53C24 53C42 Nearly Kähler S3×S3 Nearly Miller S-3 x S-3 Mathematics::Complex Variables Second fundamental form 010102 general mathematics Mathematical analysis Totally geodesic Submanifold Lagrangian submanifolds Homogeneous symbols Berger sphere 010307 mathematical physics Geometry and Topology Mathematics::Differential Geometry Lagrangian |
| Zdroj: | Journal of Geometry and Physics Journal of Geometry and Physics, Elsevier, 2016, 108, pp.21-37. ⟨10.1016/j.geomphys.2016.06.004⟩ |
| ISSN: | 0393-0440 |
| DOI: | 10.1016/j.geomphys.2016.06.004⟩ |
| Popis: | © 2016 Elsevier B.V. In this paper, we study the Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3 with parallel second fundamental form. We first prove that every Lagrangian submanifold with parallel second fundamental form in any 6-dimensional strict nearly Kähler manifold is totally geodesic. Then we give a complete classification of the totally geodesic Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3. publisher: Elsevier articletitle: Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form journaltitle: Journal of Geometry and Physics articlelink: http://dx.doi.org/10.1016/j.geomphys.2016.06.004 content_type: article copyright: © 2016 Elsevier B.V. All rights reserved. ispartof: Journal of Geometry and Physics vol:108 pages:21-37 status: published |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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