ON A UNIFORM ESTIMATE FOR THE QUATERNIONIC CALABI PROBLEM

被引：26

作者：

Alesker, Semyon ^{[1
]}

Shelukhin, Egor ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 197卷 / 01期

基金：

以色列科学基金会;

关键词：

PLURISUBHARMONIC-FUNCTIONS; MANIFOLDS;

D O I：

10.1007/s11856-013-0003-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a C-0 a priori bound on the solutions of the quaternionic Calabi-Yau equation (of Monge-Ampere type) on compact HKT manifolds with a locally flat hypercomplex structure. As an intermediate step, we prove a quaternionic version of the Gauduchon theorem.

引用

页码：309 / 327

页数：19

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