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https://research.matf.bg.ac.rs/handle/123456789/856| Title: | Three-dimensional cr-submanifolds in the nearly kähler 6-sphere with one-dimensional nullity | Authors: | Đorić, Mirjana Vrancken, Luc |
Affiliations: | Geometry | Keywords: | CR-submanifold;Nearly Kähler six-sphere;Nullity distribution | Issue Date: | 1-Feb-2009 | Journal: | International Journal of Mathematics | Abstract: | In this paper, we study certain three-dimensional CR-submanifolds M of the nearly Kähler 6-dimensional sphere S6(1). It is well known that there does not exist a three-dimensional totally geodesic proper CR-submanifold in S6(1). In this paper we obtain a classification of the 3-dimensional CR-submanifolds which are the closest possible to totally geodesic submanifolds, i.e. those that admit a one-dimensional nullity distribution. © 2009 World Scientific Publishing Company. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/856 | ISSN: | 0129167X | DOI: | 10.1142/S0129167X09005212 |
| Appears in Collections: | Research outputs |
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