Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Angella - M. Miceli - G. Placini

Approximation results for compact Vaisman manifolds

created by daniele on 10 Aug 2024
modified on 12 Aug 2024

[BibTeX]

preprint

Inserted: 10 aug 2024
Last Updated: 12 aug 2024

Year: 2024

ArXiv: 2408.01182 PDF

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.

Tags: PRIN2022-MFDS

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