11 citations · 62 across the 21 of their papers we have counts for
4 papers · 1 filter
Metric connections with parallel twistor-free torsion
Andrei Moroianu, Mihaela Pilca
The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, one of vectorial type, and one of twistorial type. In this paper w…
Closed 1-Forms and Twisted Cohomology
Andrei Moroianu, Mihaela Pilca
We show that the first twisted cohomology group associated to closed 1-forms on compact manifolds is related to certain 2-dimensional representations of the fundamental group. In p…
An Obata-type characterization of Calabi metrics on line bundles
Nicolas Ginoux, Georges Habib, Mihaela Pilca +1
We characterize those complete K{ä}hler manifolds supporting a nonconstant real-valued function with critical points whose Hessian is complex linear, has pointwise two eigenvalues…
An Obata-type characterization of doubly-warped product K\''ahler manifolds
Nicolas Ginoux, Georges Habib, Mihaela Pilca +1
We give a characterization {\sl à la Obata} for certain families of K\''ahler manifolds. These results are in the same line as other extensions of the well-known Obata's rigidity t…