Project information
Klasifikační problémy pro reálné nadplochy v komplexním prostoru
- Project Identification
- GA17-19437S
- Project Period
- 1/2017 - 12/2019
- Investor / Pogramme / Project type
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Czech Science Foundation
- Standard Projects
- MU Faculty or unit
- Faculty of Science
Předložený projekt má za cíl rozvinout teorii kterou vypracoval navrhovatel spolu s Zaitsevem a spolu s Lamelem a Shafikovem a použít ji na konstrukci konvergentních normálních forem pro
Levi degenerované variety jak konečného, tak nekonečného typu.
Publications
Total number of publications: 23
2022
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A complete normal form for everywhere Levi-degenerate hypersurfaces in C-3
Advances in Mathematics, year: 2022, volume: 408, edition: October, DOI
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Classification of homogeneous strictly pseudoconvex hypersurfaces in C^3
Mathematical Research Letters, year: 2022, volume: 29, edition: 4, DOI
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Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory
Advances in Mathematics, year: 2022, volume: 397, edition: March, DOI
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Infinitesimal symmetries of weakly pseudoconvex manifolds
Mathematische Zeitschrift, year: 2022, volume: 300, edition: 3, DOI
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Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
Mathematical Research Letters, year: 2022, volume: 29, edition: 5, DOI
2021
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Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces
Communications in Analysis and Geometry, year: 2021, volume: 29, edition: 1, DOI
2020
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Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis
Journal of Mathematical Analysis and Applications, year: 2020, volume: 481, edition: 1, DOI
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Perturbed Lane-Emden Equations as a Boundary Value Problem with Singular Endpoints
Journal of Dynamical and Control Systems, year: 2020, volume: 26, edition: 2, DOI
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Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
Complex Analysis and its Synergies, year: 2020, volume: 6, edition: 2, DOI
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Ultradifferentiable CR Manifolds
The Journal of Geometric Analysis, year: 2020, volume: 30, edition: 3, DOI