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

VIDEO LIBRARY


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
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