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International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh
January 29, 2021 18:00, online, Moscow
 


Real-analytic coordinates for smooth strictly pseudoconvex CR structures

Ilya Kossovskiy

Masaryk University, Brno
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MP4 248.6 Mb

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Abstract: Let $M$ be a smooth manifold, $E$ the complexified tangent bundle, $X_1,\ldots,X_k$ local sections of $E$ satisfying the integrability condition. Under which condition there exists a (local) smooth diffeomorphism transforming the vector fields $X_1,\ldots,X_k$ into real-analytic ones? We resolve this question for the case when the vector fields generate a hypersurface type strongly pseudoconvex CR structure.

Language: English

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