Real-analytic coordinates for smooth strictly pseudoconvex CR-structures

• Autoři: KOSSOVSKIJ Ilja; ZAITSEV Dmitri
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Mathematical Research Letters
• Fakulta / Pracoviště MU: Přírodovědecká fakulta

www

• https://arxiv.org/abs/1906.09989
• https://dx.doi.org/10.4310/MRL.2022.v29.n5.a7

• Doi: http://dx.doi.org/10.4310/MRL.2022.v29.n5.a7
• Klíčová slova: strictly pseudoconvex hypersurfaces; CR-mappings; CR-structures; analytic regularity; change of complex structure; leaf space of foliation
• Popis: For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our condition amounts to a holomorphic extension property for the canonically associated function expressing 2-jets of the formal Segre varieties in terms of their 1-jets. We also express this condition in equivalent terms for a Fefferman type determinant [Fe76].

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• Klasifikační problémy pro reálné nadplochy v komplexním prostoru