An Obata-type characterization of doubly-warped product K\''ahler manifolds
Abstract
We give a characterization \`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 Obata62, like for instance the generalizations in RanjSant97 and 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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