Linear vector fields and exponential law

Bozhidar Z. Iliev (Institute for Nuclear Research; Bulgaria); Bulgarian Academy of Sciences; Estonia); Maido Rahula (Institute of pure mathematics; Nuclear Energy; Sofia; Tartu; University of Tartu

arxiv: math/0604005 · v1 · submitted 2006-04-01 · 🧮 math.DG · math-ph· math.MP

Linear vector fields and exponential law

Bozhidar Z. Iliev (Institute for Nuclear Research , Nuclear Energy , Bulgarian Academy of Sciences , Sofia , Bulgaria) , Maido Rahula (Institute of pure mathematics , University of Tartu , Tartu

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keywords fieldsvectorgrouprotationarbitraryattentiondevotedexponential

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The paper is devoted to vector fields on the spaces R^2 and R^3, their flow and invariants. Attention is plaid on the tensor representations of the group GL(2,R) and on fundamental vector fields. The rotation group on R^3 is generalized to rotation groups with arbitrary quadrics as orbits.

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Linear vector fields and exponential law

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