2015 | OriginalPaper | Buchkapitel
Locally Conformally Kähler Structures on Homogeneous Spaces
verfasst von : Keizo Hasegawa, Yoshinobu Kamishima
Erschienen in: Geometry and Analysis on Manifolds
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We will discuss in this paper homogeneous locally conformally Kähler (or shortly homogeneous l.c.K.) manifolds and locally homogeneous l.c.K. manifolds from various aspects of study in the field of l.c.K. geometry. We will provide a survey of known results along with some new results and observations; in particular we make a complete classification of 4-dimensional homogeneous and locally homogeneous l.c.K. manifolds in terms of Lie algebras.