Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program
We investigate the action of the Lie group $\text{SL}(3,\mathbb{R})$ on the two-dimensional homogeneous space. All the one-parameter subgroups (up to conjugacy) of $\text{SL}(3,\mathbb{R})$ are considered. We discuss the orbits and curvatures of these one-parameter subgroups. We also classify these...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2022-08-01
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| Series: | Armenian Journal of Mathematics |
| Subjects: | |
| Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/659 |