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

被引：3
|
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).
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页码：1263 / 1275
页数：13
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