Approximation results for compact Vaisman manifolds

2024/08/02 by Angella, Daniele, Miceli, Marco, Placini, Giovanni
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2408.01182

Abstract

We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem of approximating compact regular, respectively quasi-regular, Vaisman metrics by metrics induced by immersions, respectively embeddings, into Hopf manifolds.

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