We prove that any compact homogeneous locally conformally Kähler manifold has parallel Lee form.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Hasegawa, K., Kamishima, Y.: Locally conformally Kähler structures on homogeneous spaces. arXiv:1101.3693v10 (2013)
Hasegawa, K., Kamishima, Y.: Compact homogeneous locally conformally Kähler manifolds. arXiv:1312.2202v1 (2013)
Moroianu, A., Ornea, L.: Homogeneous locally conformally Kähler manifolds. arXiv:1311.0671v1 (2013)
This work was partially supported by the LEA Math-Mode.
About this article
Cite this article
Gauduchon, P., Moroianu, A. & Ornea, L. Compact homogeneous lcK manifolds are Vaisman. Math. Ann. 361, 1043–1048 (2015). https://doi.org/10.1007/s00208-014-1103-x
- Vector Field
- Linear Isomorphism
- Hermitian Structure
- Hermitian Manifold