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arXiv · 2408.01182

Approximation results for compact Vaisman manifolds

Daniele Angella·Marco Miceli·Giovanni Placini
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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.

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Daniele Angella, Marco Miceli, Giovanni Placini. 2024-08-02. Approximation results for compact Vaisman manifolds. https://arxiv.org/abs/2408.01182

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