Geodesic
A Connected Lie Group Equals the Square of the Exponential Function
Michael Wuestner1, 2, 3
1Fachbereich Mathematik, Technische Universität, 64289 Darmstadt, Germany
2It is shown that in every connnected real Lie group every element is the product of two elements in the exponential image.
3[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 307-309 
Michael Wuestner. A Connected Lie Group Equals the Square of the Exponential Function. Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 307-309. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a18/
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     title = {A {Connected} {Lie} {Group} {Equals} the {Square} of the {Exponential} {Function}},
     journal = {Journal of Lie Theory},
     pages = {307--309},
     year = {2003},
     volume = {13},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a18/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

It is shown that in every connnected real Lie group every element is the product of two elements in the exponential image.