Tohoku Mathematical Journal
2003
September
SECOND SERIES VOL. 55, NO. 3

Tohoku Math. J.
55 (2003), 361-374

Title ON THE REAL SECONDARY CLASSES OF TRANSVERSELY HOLOMORPHIC FOLIATIONS II

Author Taro Asuke

(Received July 16, 2001, revised May 30, 2002)
Abstract. An algorithm to find a basis of the space of complex secondary classes of transversely holomorphic foliations is given. The mapping which relates the real secondary classes to the complex secondary classes is completely described when the complex codimension of the foliation is either two or three. Finally, it is shown that the image of real secondary classes under this mapping is naturally reduced under a certain condition.

2000 Mathematics Subject Classification. Primary 58H10; Secondary 32S65, 53C12.
Key words and phrases. Foliations, Transverse holomorphic structure, Characteristic classes.

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