Conformally Kahler, Einstein-Maxwell metrics on Hirzebruch surfaces

被引：4

作者：

Viza de Souza, Isaque ^{[1
]}

机构：

[1] Univ Quebec Montreal, Dept Math, Montreal, PQ, Canada

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2021年 / 59卷 / 02期

关键词：

Conformally Kahler Einstein-Maxwell metric; Hirzebruch surface; Hermitian metric; SCALAR CURVATURE; HAMILTONIAN; 2-FORMS; GEOMETRY; CONSTANT; STABILITY; CONVEXITY; EQUATIONS;

D O I：

10.1007/s10455-020-09749-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono [18], gives rise to new conformally Kahler, Einstein-Maxwell metrics. The correspondent Kahler metrics are ambitoric [7, 9] but they are not given by the Calabi ansatz [31]. This answers in positive questions raised in [18, 19].

引用

页码：263 / 284

页数：22

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