13 citations · 34 across the 12 of their papers we have counts for
10 papers · 1 filter
LcK structures with holomorphic Lee vector field on Vaisman-type manifolds
Farid Madani, Andrei Moroianu, Mihaela Pilca
We give a complete description of all locally conformally Kähler structures with holomorphic Lee vector field on a compact complex manifold of Vaisman type. This provides in partic…
On Weyl-reducible conformal manifolds and lcK structures
Farid Madani, Andrei Moroianu, Mihaela Pilca
A recent result of M. Kourganoff states that if is a closed, reducible, non-flat, Weyl connection on a compact conformal manifold , then the universal covering of , endow…
The Equivariant Second Yamabe Constant
Guillermo Henry, Farid Madani
For a closed Riemannian manifold of dimension and a subgroup of the isometry group, we define and study the equivariant second Yamabe constant and we obtain some…
On toric locally conformally Kähler manifolds
Farid Madani, Andrei Moroianu, Mihaela Pilca
We study compact toric strict locally conformally Kähler manifolds. We show that the Kodaira dimension of the underlying complex manifold is and that the only compact com…
Conformally related Kähler metrics and the holonomy of lcK manifolds
Farid Madani, Andrei Moroianu, Mihaela Pilca
A locally conformally Kähler (lcK) manifold is a complex manifold together with a Hermitian metric which is conformal to a Kähler metric in the neighbourhood of each po…
S^1-equivariant Yamabe invariant of 3-manifolds
Bernd Ammann, Farid Madani, Mihaela Pilca
We show that the S^1-equivariant Yamabe invariant of the 3-sphere, endowed with the Hopf action, is equal to the (non-equivariant) Yamabe invariant of the 3-sphere. More generally,…
A detailed proof of a theorem of Aubin
Farid Madani
In this note we give a detailed proof of a theorem of Aubin.
A construction of conformal-harmonic maps
Olivier Biquard, Farid Madani
Conformal harmonic maps from a 4-dimensional conformal manifold to a Riemannian manifold are maps satisfying a certain conformally invariant fourth order equation. We prove a gener…
Hebey-Vaugon conjecture II
Farid Madani
In this paper we consider the remaining cases of Hebey-Vaugon conjecture.
Equivariant Yamabe problem and Hebey-Vaugon conjecture
Farid Madani
In their study of the Yamabe problem in the presence of isometry group, Hebey and Vaugon announced a conjecture. This conjecture generalizes Aubin's conjecture, which has already b…