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 Locally conformally Kaehler structures on homogeneous spaces


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We show as a main result a structure theorem of compact homogeneous locally conformal Kaehler or shortly l.c.K. manifolds, asserting that it has, up to finite covering, a structure of holomorphic fiber bundle over a flag manifold with fiber a 1-dimensional complex torus. We also discuss compact locally homogeneous l.c.K. manifolds; and classify all complex surfaces admitting homogeneous and locally homogeneous l.c.K. structures.



Author: Keizo Hasegawa; Yoshinobu Kamishima

Source: https://archive.org/



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