Conformal Geometry of Semi-Direct Extensions of the Heisenberg Group

被引：0
作者：
Calvaruso, Giovanni [1 ]
Zaeim, Amirhesam [2 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Italy
[2] Payame Noor Univ PNU, Dept Math, POB 19395-3697, Tehran, Iran
来源：
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2021年 / 17卷 / 04期
关键词：
Heisenberg group; semi-direct extensions; oscillator group; Bach-flat metrics; conformally Einstein metrics;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the general semi-direct extension G(S) = H (sic)(S) R of the Heisenberg Lie group H, as defined in [10] by any S is an element of sp(1, R), and equipped with a family of left-invariant metrics g(a) (a(2) not equal 1). This construction is a natural generalization of the oscillator group. We completely determine the conformally Einstein examples.
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页码：407 / 421
页数：15
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