Approximation results for compact Vaisman manifolds
Differential Geometry
2024-08-05 v1 Complex Variables
Abstract
We extend the Tian approximation theorem for projective manifolds to a class of complex non-K\"ahler 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.
Cite
@article{arxiv.2408.01182,
title = {Approximation results for compact Vaisman manifolds},
author = {Daniele Angella and Marco Miceli and Giovanni Placini},
journal= {arXiv preprint arXiv:2408.01182},
year = {2024}
}
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