Armenian Journal of Mathematics, 14(11)
2022; 1–15
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Geometry associated with the SL ( 3 , R ) action on homogeneous space using the Erlangen program

Debapriya Biswas*, Ipsita Rajwar

Received: 2024-12-05 · Published: 2022-08-16

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Geometry associated with the SL ( 3 , R ) action on homogeneous space using the Erlangen program
Authors
Debapriya Biswas, Ipsita Rajwar
Source journal
Armenian Journal of Mathematics, 14(11)
Published
2022-08-16
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.11-1-15

Abstract

We investigate the action of the Lie group SL(3,R)SL(3,R) on the two-dimensional homogeneous space. All the one-parameter subgroups (up to conjugacy) of SL(3,R)SL(3,R) are considered. We discuss the orbits and curvatures of these one-parameter subgroups. We also classify these subgroups in terms of fixed points.
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