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  • Title
    An Obata-type characterization of doubly-warped product Kähler manifolds
  • Author
    Ginoux, Nicolas ; Habib, Georges ; Pilca, Mihaela Veronica ; Semmelmann, Uwe
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 295-321
  • Published
    2021
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-06089650794 
  • DOI
    10.17879/06089650392 
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Abstract
  • We give a characterization à la Obata for certain families of Kähler manifolds. These results are in the same line as other extensions of the well-known Obata rigidity theorem from [16], like for instance the generalizations in [17, 18]. Moreover, we give a complete description of the so-called Kähler doubly-warped product structures whose underlying metric is Einstein.
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