Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture)

IF 1.2 4区 数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2023-11-29 DOI:10.1007/s10473-024-0103-5
Xiaoman Duan, Zhuangdan Guan
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引用次数: 2

Abstract

In this article, we study Kähler metrics on a certain line bundle over some compact Kähler manifolds to find complete Kähler metrics with positive holomorphic sectional (or bisectional) curvatures. Thus, we apply a strategy to a famous Yau conjecture with a co-homogeneity one geometry.

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在某些线束上具有正全纯截面曲率的完备Kähler度量(与丘猜想上的同质性一点有关)
在本文中,我们研究了紧致Kähler流形上某线束上的Kähler度量,以寻找具有正全纯截面(或对分)曲率的完全Kähler度量。因此,我们将一种策略应用于一个著名的具有共齐性一几何的丘猜想。
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来源期刊
CiteScore
2.00
自引率
10.00%
发文量
2614
审稿时长
6 months
期刊介绍: Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
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