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.

引用

页码：559 / 659

页数：101

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