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| THE NEARLY KAHLER STRUCTURE AND MINIMAL SURFACES IN S6 |
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Citation： |
Shen Yibing.THE NEARLY KAHLER STRUCTURE AND MINIMAL SURFACES IN S6[J].Chinese Annals of Mathematics B,1998,19(1):87~96 |
| Page view： 1088
Net amount： 717 |
Authors： |
Shen Yibing; |
Foundation： |
Project supported by the National Natural Science
Foundation of China and the Natural Science Foundation of Zhejiang Province. |
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| Abstract： |
In terms of the almost complex connection and the unitary
moving frame, a complex version on the theory of the nearly K\"ahler
structure in $S^6$ is given. Under this framework, minimal surfaces in
the nearly K\"ahler $S^6$ are studied. A complete classification for complete
minimal surfaces in $S^6$ with constant K\"ahler angle and nonnegative
curvature is given. Moreover, almost complex curves in $S^6$ are
considered. |
Keywords： |
Nearly K\"ahler structure Minimal surfaces K\"ahler angle |
Classification： |
53A10, 53C40 |
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