Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries

被引：0
|
作者：
Inoguchi, Jun-ichi [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2024年 / 17卷 / 02期
关键词：
Homogeneous structures; Thurston geometry; Sasakian manifolds; Ambrose-Singer connections; LEFT-INVARIANT METRICS; LOOP GROUP METHOD; GRASSMANN GEOMETRY; MINIMAL-SURFACES; MAGNETIC CURVES; LIE-GROUPS; MANIFOLDS; CLASSIFICATION; CONNECTIONS; SPACES;
D O I：
10.36890/IEJG.1464086
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give explicit parametrizations for all the homogeneous Riemannian structures on model spaces of Thurston geometry. As an application, we give all the homogeneous contac Riemannian structures on 3-dimensional Sasakian space forms.
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页码：559 / 659
页数：101
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