Compact homogeneous lcK manifolds are Vaisman
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We prove that any compact homogeneous locally conformally Kähler manifold has parallel Lee form.
KeywordsManifold Vector Field Linear Isomorphism Hermitian Structure Hermitian Manifold
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This work was partially supported by the LEA Math-Mode.
- 1.Hasegawa, K., Kamishima, Y.: Locally conformally Kähler structures on homogeneous spaces. arXiv:1101.3693v10 (2013)
- 2.Hasegawa, K., Kamishima, Y.: Compact homogeneous locally conformally Kähler manifolds. arXiv:1312.2202v1 (2013)
- 3.Moroianu, A., Ornea, L.: Homogeneous locally conformally Kähler manifolds. arXiv:1311.0671v1 (2013)
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