Vaisman nilmanifolds

Abstract

We prove that if a compact nilmanifold $\Gamma \backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\mathbb{R}$.

10 pages; comments are welcome

References in corpus (2)

• LCK rank of locally conformally Kahler manifolds with potential
• M-theory on non-Kähler manifolds

Cited by in corpus (4)

• On locally conformal symplectic manifolds of the first kind
• Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds
• Nilpotent aspherical Sasakian manifolds
• Isometric immersions of locally conformally Kaehler manifolds