Balanced metrics on uniruled manifolds

被引：5

作者：

Chiose, Ionut ^{[1
]}

Rasdeaconu, Rares ^{[2
]}

Suvaina, Ioana ^{[2
]}

机构：

[1] Romanian Acad, Inst Math, POB 1-764, Bucharest 014700, Romania

[2] Vanderbilt Univ, Dept Math, 1326 STEVENSON Ctr, Nashville, TN 37240 USA

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2019年 / 27卷 / 02期

关键词：

KAHLER CONE; MINIMAL MODELS; EXISTENCE; CURVATURE; VARIETIES;

D O I：

10.4310/CAG.2019.v27.n2.a3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an n-dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric omega(n-1) of positive total scalar Chern curvature. A similar statement also holds true for class C manifolds of dimension three.

引用

页码：329 / 355

页数：27

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