On the integrability of Mizohata structures on the sphere S<sup>2</sup>

On the integrability of Mizohata structures on the sphere S² Article

Meziani, A. (1999). On the integrability of Mizohata structures on the sphere S² . JOURNAL OF GEOMETRIC ANALYSIS, 9(2), 301-315. 10.1007/bf02921940

This paper deals with the integrability problem for structures on the sphere S2 which are elliptic on the upper and lower hemispheres, and which are given by a simple fold on the equator. Criteria for standardness are given. Existence and factorization of first integrals are studied. © 1999 The Journal of Geometric Analysis.