Twistor bundle theory and its application (Q813810)

The article under review discusses the question whether an almost complex structure compatible with a metric and an orientation is integrable. In particular, a new proof of LeBrun's result is obtained which says that \(S^6\) has no integrable almost complex structures compatible with the standard metric. See [\textit{C. Le Brun}, Proc. Am. Math. Soc. 101, 136--138 (1987; Zbl 0629.53037)]