4-dimensional minimal CR submanifolds of the sphere S satisfying Chen's equality |
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Authors: | Miroslava Anti? Mirjana Djori? Luc Vrancken |
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Institution: | a Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000 Belgrade, Serbia and Montenegro b LAMATH, ISTV2, Université de Valenciennes, Campus du Mont Houy, 59313 Valenciennes Cedex 9, France |
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Abstract: | In this paper, we classify 4-dimensional minimal CR submanifolds M of the nearly Kähler 6-sphere S6(1) which satisfy Chen's equality, i.e. , where δM(p)=τ(p)−infK(p) for every p∈M. |
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Keywords: | 53B25 53C42 |
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