Bott Generator and Its Application to an Almost Complex Structure on $S^6$

Citation:

Chiakuei PENG,Zizhou TANG.Bott Generator and Its Application to an Almost Complex Structure on $S^6$[J].Chinese Annals of Mathematics B,2007,28(2):213~218
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Authors:

Chiakuei PENG; Zizhou TANG

Foundation:

the Changjiang Scholars Program, the Outstanding Youth Foundation of China (No. 19925103, No. 10229101) and the National Natural Science Foundation of China (No. 10531090).
Abstract: The Bott generator of the homotopy group $\pi_{2k-1} \U(\infty)$ is used to construct an almost complex structure on $S^6$, which is integrable except a small neighborhood.

Keywords:

Bott generator, Almost complex structure, Integrability

Classification:

32Q99, 53C15
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