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https://research.matf.bg.ac.rs/handle/123456789/16| Title: | Characterization of totally geodesic totally real 3-dimensional submanifolds in the 6-sphere | Authors: | Antić, Miroslava Đorić, Mirjana Vrancken, Luc |
Affiliations: | Geometry Geometry |
Keywords: | Nearly Kaehler 6-sphere;Ricci curvature;Totally geodesic submanifold;Totally real submanifold | Issue Date: | 1-Jan-2006 | Journal: | Acta Mathematica Sinica, English Series | Abstract: | In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6-sphere. We derive a pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of the totally geodesic submanifold. Our pinching result improves a previous result obtained by H. Li. © Springer-Verlag 2006. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/16 | ISSN: | 14398516 | DOI: | 10.1007/s10114-005-0798-8 |
| Appears in Collections: | Research outputs |
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