Zhuang-dan Daniel Guan (UCR)

Abstract: Recently, Hasegawa et al finished the classification of compact homogeneous locally conformal K\"ahler manifolds in 2012. This was a thirty years problem. We gave several different proofs in 2012 and gave a talk in the Fall 2012 here. Later on Gauduchon et al posted several results and one of them appeared in Math. Ann. 2015. Hasegawa's paper appeared in Osaka J. Math..

Here, we continue our earlier work and classify the cohomogeneity one case. We shall give some background, a proof and some examples.