Locally conformally Kähler spaces and proper open morphisms

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2024-06-13 DOI:10.1007/s10455-024-09959-8

Ovidiu Preda, Miron Stanciu

引用次数: 0

Abstract

In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically, we find sufficient conditions under which the image of an lcK space by a holomorphic mapping also admits lcK metrics, thus extending a result by Varouchas about Kähler spaces.

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局部保角凯勒空间和适当的开放变形

在本文中，我们证明了具有奇点的局部共形凯勒（lcK）空间的非凯勒几何的稳定性结果。具体地说，我们找到了一个充分条件，在此条件下，全形映射的 lcK 空间的映像也承认 lcK 度量，从而扩展了 Varouchas 关于 Kähler 空间的一个结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.