Publications de l’Institut Mathématique, Nouvelle Série, Vol. 101[115], pp. 25

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 25–35 (2017)

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RULED THREE DIMENSIONAL CR SUBMANIFOLDS OF THE SPHERE $𝐒^{6} (1)$

Miroslava Antić

Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract: We investigate proper, three dimensional CR submanifolds of the nearly Kähler sphere $𝐒^{6} (1)$ ruled by totally geodesic spheres $§^{2} (1)$ , and classify them by using a sphere curve and a vector field along that curve.

Keywords: CR submanifold; nearly Kähler six sphere; ruled submanifolds

Classification (MSC2000): 53B25; 53C42; 53C40

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Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

RULED THREE DIMENSIONAL CR SUBMANIFOLDS OF THE SPHERE 𝐒 6 (1)

Miroslava Antić

RULED THREE DIMENSIONAL CR SUBMANIFOLDS OF THE SPHERE $𝐒^{6} (1)$