Geodesic
On some classes of transformations preserving the Gaussian measure
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 487-495 
V. L. Èidlin. On some classes of transformations preserving the Gaussian measure. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 487-495. http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a6/
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     author = {V. L. \`Eidlin},
     title = {On some classes of transformations preserving the {Gaussian} measure},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {487--495},
     year = {1972},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that algebraic and one-to-one meromorfic transformations of finite order preserving normality preserve also the isolines of the distribution density.