11 citations · 62 across the 21 of their papers we have counts for
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math.DG2015★ 5 cited
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…
math.DG2015
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,…
math.DG2015
Eigenvalue Estimates of the Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds
Roger Nakad, Mihaela Pilca
We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kähler-Einstein manifold of positive scalar curvature and endowed with particular ${\rm sp…