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On Totally Real Submanifolds in a 6-Sphere

Published online by Cambridge University Press:  20 November 2018

M. A. Bashir
M. A. Bashir*
Affiliation:
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

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The 6-dimensional sphere S6 has an almost complex structure induced by properties of Cayley algebra. With respect to this structure S6 is a nearly Kaehlerian manifold. We investigate 2-dimensional totally real submanifolds in S6. We prove that a 2-dimensional totally real submanifold in S6 is flat.

Keywords

53C4053C55
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 162 - 166
Copyright
Copyright © Canadian Mathematical Society 1990

References

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