Geodesic
On algebraic solutions of algebraic Pfaff equations
Studia Mathematica, Tome 114 (1995) no. 2, pp. 117-126

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a new proof of Jouanolou's theorem about non-existence of algebraic solutions to the system $ẋ=z^{s}, ẏ=x^{s}, ż=y^{s}$. We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
DOI : 10.4064/sm-114-2-117-126

Henryk Żołądek 1

1 
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Henryk Żołądek. On algebraic solutions of algebraic Pfaff equations. Studia Mathematica, Tome 114 (1995) no. 2, pp. 117-126. doi: 10.4064/sm-114-2-117-126

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