Geometry associated with the SL ( 3 , R ) action on homogeneous space using the Erlangen program

Debapriya Biswas

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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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Geometry associated with the SL ( 3 , R ) action on homogeneous space using the Erlangen program

Abstract

Author(s)

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Geometry associated with the SL ( 3 , R ) action on homogeneous space using the Erlangen program

Abstract

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