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

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 نشر من قبل Nicolas Ginoux
 تاريخ النشر 2020
  مجال البحث
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 تأليف Nicolas Ginoux




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We give a characterization {sl `a la Obata} for certain families of Kahler manifolds. These results are in the same line as other extensions of the well-known Obatas 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 Kahler doubly-warped product structures whose underlying metric is Einstein.



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