Approximation results for compact Vaisman manifolds

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Authors: Daniele Angella, Marco Miceli, Giovanni Placini
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Abstract

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometry and complex manifolds Advanced Numerical Analysis Techniques

Publication details

Journal / source
Annali di Matematica Pura ed Applicata (1923 -)
Publication date
26 April 2026
Language
EN