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arXiv · 2002.08810

An Obata-type characterization of Calabi metrics on line bundles

Nicolas Ginoux·Georges Habib·Mihaela Pilca·Uwe Semmelmann
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Abstract

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 and whose gradient is a Hessian-eigenvector.

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Nicolas Ginoux, Georges Habib, Mihaela Pilca, Uwe Semmelmann. 2020-02-20. An Obata-type characterization of Calabi metrics on line bundles. https://arxiv.org/abs/2002.08810

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