THREE-DIMENSIONAL CR-SUBMANIFOLDS IN THE NEARLY KÄHLER 6-SPHERE WITH ONE-DIMENSIONAL NULLITY-Reference-Cited by-同舟云学术

THREE-DIMENSIONAL CR-SUBMANIFOLDS IN THE NEARLY KÄHLER 6-SPHERE WITH ONE-DIMENSIONAL NULLITY

Published:2009-02 Issue:02 Volume:20 Page:189-208
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

DJORIĆ MIRJANA¹,VRANCKEN LUC²

Affiliation:

1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000 Belgrade, Serbia

2. LAMATH, ISTV2, Université de Valenciennes, Le Mont Houy, 59313 Valenciennes cedex 9, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005212

Reference12 articles.

1. ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE

2. Submanifolds and special structures on the octonians

3. What are the best almost-complex structures on the 6-sphere?

4. On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler 6-sphere

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