We study compact toric strict locally conformally Kahler manifolds. We show that the Kodaira dimension of the underlying complex manifold is -infinity, and that the only compact complex surfaces admitting toric strict locally conformally Kahler metrics are the diagonal Hopf surfaces. We also show that every toric Vaisman manifold has lcK rank 1 and is isomorphic to the mapping torus of an automorphism of a toric compact Sasakian manifold
We introduce and study a special class of Kato manifolds, which we call toric Kato manifolds. Their ...
The last years have seen striking improvements on Vaisman's question about existence of locally con...
A locally conformally Kähler (LCK) manifold is a complex manifold admitting a Kähler covering , with...
We consider locally conformal Kahler geometry as an equivariant (homothetic) Kahler geometry: a loca...
A locally conformally Kahler (lcK) manifold is a complex manifold (M, J) together with a Hermitian m...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits ...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
Abstract. We consider several transformation groups of a locally conformally Kähler manifold and di...
A locally conformally Khler (LCK) manifold is a complex manifold which admits a cover-ing endowed wi...
We review the properties of the Morse-Novikov cohomology and compute it for all known compact comple...
We review the properties of the Morse-Novikov cohomology and compute it for all known compact comple...
We introduce and study a special class of Kato manifolds, which we call toric Kato manifolds. Their ...
The last years have seen striking improvements on Vaisman's question about existence of locally con...
A locally conformally Kähler (LCK) manifold is a complex manifold admitting a Kähler covering , with...
We consider locally conformal Kahler geometry as an equivariant (homothetic) Kahler geometry: a loca...
A locally conformally Kahler (lcK) manifold is a complex manifold (M, J) together with a Hermitian m...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce tor...
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits ...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
Abstract. We consider several transformation groups of a locally conformally Kähler manifold and di...
A locally conformally Khler (LCK) manifold is a complex manifold which admits a cover-ing endowed wi...
We review the properties of the Morse-Novikov cohomology and compute it for all known compact comple...
We review the properties of the Morse-Novikov cohomology and compute it for all known compact comple...
We introduce and study a special class of Kato manifolds, which we call toric Kato manifolds. Their ...
The last years have seen striking improvements on Vaisman's question about existence of locally con...
A locally conformally Kähler (LCK) manifold is a complex manifold admitting a Kähler covering , with...