Unimodular Sasaki and Vaisman Lie groups

被引：1
作者：
Cortes, Vicente [1 ,2 ]
Hasegawa, Keizo [3 ,4 ]
机构：
[1] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany
[2] Univ Hamburg, Zentrum Math Phys, Bundesstr 55, D-20146 Hamburg, Germany
[3] Osaka Univ, Dept Math, Grad Sch Sci, Machikaneyama Cho, Toyonaka, Osaka 5600043, Japan
[4] Niigata Univ, Dept Math, Fac Educ, 8050 Ikarashi Nino Cho, Niigata 9502181, Japan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2023年 / 303卷 / 04期
基金：
日本学术振兴会;
关键词：
Unimodular Lie group; Sasaki structure; Vaisman Lie group; KAHLER STRUCTURES; COMPLEX;
D O I：
10.1007/s00209-023-03233-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In our previous work (Alekseevsky et al., Nagoya Math J 8:1-14, 2019), applying the technique of modification, all homogeneous Sasaki and Vaisman manifolds of unimodular Lie groups have been classified, up to modifications. In this paper we determine all such modifications explicitly for the case of Lie groups, obtaining a complete classification of unimodular Sasaki and Vaisman Lie groups. Furthermore, we determine the biholomorphism type of a simply connected unimodular Vaisman Lie group of each type.
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页数：17
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