An Obata-type characterization of doubly-warped product K\''ahler manifolds

20 Feb 2020 Ginoux Nicolas IECL Habib Georges UR Pilca Mihaela UR Semmelmann Uwe UNI KOELN

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}... (read more)

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  • DIFFERENTIAL GEOMETRY
  • SPECTRAL THEORY