TOTALLY REAL SURFACES IN $S^6$
Keyword(s):
The normal bundle $\bar \nu$ of a totally real surface $M$ in $S^6$ splits as $\bar\nu= JTM\oplus \bar\mu$ where $TM$ is the tangent bundle of $M$ and $\bar\mu$ is subbundle of $\bar\nu$ which is invariant under the almost complex structure $J$. We study the totally real surfaces M of constant Gaussian curvature K for which the second fundamental form $h(x, y) \in JTM$, and we show that $K = 1$ (that is, $M$ is totally geodesic).
1992 ◽
Vol 15
(3)
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pp. 589-592
2006 ◽
Vol 03
(05n06)
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pp. 1255-1262
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2018 ◽
Vol 29
(14)
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pp. 1850099
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2008 ◽
Vol 17
(11)
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pp. 1429-1454
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2005 ◽
Vol 21
(6)
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pp. 1459-1464
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