Research ArticleOpen accessEvery word in the titleA Note on the Classification of Compact Homogeneous Locally Conformal Kähler ManifoldsDaniel GuanIn this study, we apply a result of H. C. Wang and Hano-Kobayashi on the classification of compact complex homogeneous manifolds with a compact reductive Lie group to give some more homogeneous space involved proofs of recent classification of compact complex homogeneous locally conformal Kähler manifolds. In particular, we prove that the semisimple part S of the Lie group action … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 2 Aug 2017 · 9,357 accessesView PDFCite