A REMARK ON THE QUATERNIONIC MONGE-AMPERE EQUATION ON FOLIATED MANIFOLDS

被引：5

作者：

Gentili, Giovanni ^{[1
]}

Vezzoni, Luigi ^{[1
]}

机构：

[1] Univ Torino, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 03期

关键词：

HYPERCOMPLEX MANIFOLDS; HKT METRICS;

D O I：

10.1090/proc/16121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Pursuing the approach of Gentili and Vezzoni [Math. Res. Not. IMRN 12 (2022), pp. 9499-9528] we study the quaternionic Monge-Ampe`re equation on HKT (hyperka center dot hler with torsion) manifolds admitting an HKT foliation having corank 4. We show that in this setting the quaternionic MongeAmpe`re equation has always a unique solution for every basic datum. This approach includes the study of the equation on SU(3).

引用

页码：1263 / 1275

页数：13