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Article Dans Une Revue Münster Journal of Mathematics Année : 2021

An Obata-type characterization of doubly-warped product Kähler manifolds

Résumé

We give a characterization {\sl \`a 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 theorem from \cite{Obata62}, like for instance the generalizations in \cite{RanjSant97} and \cite{Santhanam07}. Moreover, we give a complete description of the so-called K\"ahler doubly-warped product structures whose underlying metric is Einstein.
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Dates et versions

hal-02483859 , version 1 (18-02-2020)

Identifiants

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Nicolas Ginoux, Georges Habib, Mihaela Pilca, Uwe Semmelmann. An Obata-type characterization of doubly-warped product Kähler manifolds. Münster Journal of Mathematics, 2021, 14 (2), pp.295-321. ⟨10.17879/06089650392⟩. ⟨hal-02483859⟩
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