Видеотека: Ilya Kossovskiy, Real-analytic coordinates for smooth strictly pseudoconvex CR structures

ВИДЕОТЕКА


Международная конференция «Analytic Theory of Differential and Difference Equations», посвященная памяти академика А. А. Болибруха 29 января 2021 г. 18:00, г. Москва, онлайн

Real-analytic coordinates for smooth strictly pseudoconvex CR structures Ilya Kossovskiy Masaryk University, Brno
Аннотация: 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. Язык доклада: английский