10 pagesInternational audienceWe show that for $n>2$ a compact locally conformally K\"ahler manifold $(M^{2n},g,J)$ carrying a non-trivial parallel vector field is either Vaisman, or globally conformally K\"ahler, determined in an explicit way by some compact K\"ahler manifold of dimension $2n-2$
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
A locally conformally Khler (LCK) manifold is a complex manifold which admits a cover-ing endowed wi...
AbstractLet g be a pseudo-Riemannian metric on a 2-dimensional manifold M. We prove that a conformal...
10 pagesInternational audienceWe show that for $n>2$ a compact locally conformally K\"ahler manifold...
Abstract A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler manifold ...
A locally conformally Kähler (LCK) manifold is a compact Hermitian manifold $(M,g,J)$ whose f...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits ...
Abstract. We consider several transformation groups of a locally conformally Kähler manifold and di...
A locally conformally Kahler (lcK) manifold is a complex manifold (M, J) together with a Hermitian m...
Abstract. We consider several transformation groups of a locally conformally Kähler mani-fold and di...
Vaisman's theorem for locally conformally K\"ahler (lcK) compact manifolds states that any lcK metri...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
A locally conformally Khler (LCK) manifold is a complex manifold which admits a cover-ing endowed wi...
AbstractLet g be a pseudo-Riemannian metric on a 2-dimensional manifold M. We prove that a conformal...
10 pagesInternational audienceWe show that for $n>2$ a compact locally conformally K\"ahler manifold...
Abstract A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler manifold ...
A locally conformally Kähler (LCK) manifold is a compact Hermitian manifold $(M,g,J)$ whose f...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
8 pagesInternational audienceWe consider several transformation groups of a locally conformally Kähl...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits ...
Abstract. We consider several transformation groups of a locally conformally Kähler manifold and di...
A locally conformally Kahler (lcK) manifold is a complex manifold (M, J) together with a Hermitian m...
Abstract. We consider several transformation groups of a locally conformally Kähler mani-fold and di...
Vaisman's theorem for locally conformally K\"ahler (lcK) compact manifolds states that any lcK metri...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of th...
A locally conformally Khler (LCK) manifold is a complex manifold which admits a cover-ing endowed wi...
AbstractLet g be a pseudo-Riemannian metric on a 2-dimensional manifold M. We prove that a conformal...
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