@article{article_1464086, title={Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries}, journal={International Electronic Journal of Geometry}, volume={17}, pages={559–659}, year={2024}, DOI={10.36890/iejg.1464086}, author={Inoguchi, Jun-ichi}, keywords={Homogeneous structures, Thurston geometry, Sasakian manifolds, Ambrose-Singer connections}, abstract={We give explicit parametrizations for all the homogeneous Riemannian structures on model spaces of Thurston geometry. As an application, we give all the homogeneous contact metric structures on $3$-dimensional Sasakian space forms.}, number={2}, publisher={Kazım İlarslan}