Compact homogeneous lcK manifolds are Vaisman
arXiv:1312.6266 · doi:10.1007/s00208-014-1103-x
Abstract
We prove that any compact homogeneous locally conformally Kähler manifold has parallel Lee form.
6 pages; final version, to appear in Math. Ann
Cited by in corpus (7)
- Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
- On locally conformal symplectic manifolds of the first kind
- Vaisman nilmanifolds
- Locally conformally Kähler manifolds with holomorphic Lee field
- On cohomogeneity one Hermitian non-Kähler metrics
- LcK structures with holomorphic Lee vector field on Vaisman-type manifolds
- Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds