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Homogeneous structures of $3$-dimensional Lie groups by Inoguchi, Jun-ichi; Ohno, Yu is a scholarly article available to read on EtoBox.

What is Homogeneous structures of $3$-dimensional Lie groups about?

We give a classification of homogeneous Riemannian structures on (non locally symmetric) $3$-dimensional Lie groups equipped with left invariant Riemannian metrics. This work together with classifications due to previous works yields a complete classification of all the homogeneous Riemannian structures on homogeneous Riemannian $3$-spaces. Two applications of the classification to contact Riemannian geometry and CR geometry are also given.

Author

Inoguchi, Jun-ichi; Ohno, Yu

Published

2025

Language

EN