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On the integrability of Mizohata structures on the sphereS 2

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Florida International University, 33199, Miami, FL

    Abdelhamid Meziani

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  1. Abdelhamid Meziani
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Correspondence to Abdelhamid Meziani.

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Meziani, A. On the integrability of Mizohata structures on the sphereS 2 . J Geom Anal 9, 301–315 (1999). https://doi.org/10.1007/BF02921940

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  • DOI: https://doi.org/10.1007/BF02921940

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