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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Totally real submanifolds in a $ 6$-sphere


Author: Norio Ejiri
Journal: Proc. Amer. Math. Soc. 83 (1981), 759-763
MSC: Primary 53C15
MathSciNet review: 630028
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Abstract: A $ 6$-dimensional sphere $ {S^6}$ has an almost complex structure induced by properties of Cayley algebra. We investigate $ 3$-dimensional totally real submanifolds in $ {S^6}$ and classify $ 3$-dimensional totally real submanifolds of constant sectional curvature.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0630028-6
PII: S 0002-9939(1981)0630028-6
Keywords: Cayley algebra, Tachibana space, nearly Kaehler manifold, totally real submanifold, Killing frame
Article copyright: © Copyright 1981 American Mathematical Society