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math.DG2013★ 14 cited
Compact homogeneous lcK manifolds are Vaisman
Paul Gauduchon, Andrei Moroianu, Liviu Ornea
We prove that any compact homogeneous locally conformally Kähler manifold has parallel Lee form.
math.DG2013★ 5 cited
Homogeneous locally conformally Kähler manifolds
Andrei Moroianu, Liviu Ornea
It is known that automorphism group of a compact homogeneous locally conformally Kähler manifold has at least a 1-dimensional center. We prove that the center of is…