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

2020/02/20 by Nicolas Ginoux, Georges Habib, Ginoux, Nicolas +5
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2002.08808

openalex publication_date 2020/02/20 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We give a characterization sl `a la Obata for certain families of\nK ''ahler manifolds. These results are in the same line as other extensions of\nthe well-known Obata's rigidity theorem from citeObata62, like for instance\nthe generalizations in citeRanjSant97 and citeSanthanam07. Moreover, we\ngive a complete description of the so-called K ''ahler doubly-warped product\nstructures whose underlying metric is Einstein.\n

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