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Showing 2020 · math.DGShow all
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math.DG2020★ 1 cited
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…
math.DG2020
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…