Unique jet determination and extension of germs of CR maps into spheres
We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-
analytic generic manifolds $ M\subset\mathbb {C}^ N $ into spheres $\mathbb {S}^{2N' …
analytic generic manifolds $ M\subset\mathbb {C}^ N $ into spheres $\mathbb {S}^{2N' …
Analytic differential equations and spherical real hypersurfaces
I Kossovskiy, R Shafikov - Journal of Differential Geometry, 2016 - projecteuclid.org
We establish an injective correspondence $ M\to\mathcal {E}(M) $ between real-analytic
nonminimal hypersurfaces $ M\subset\mathbb {C}^ 2$, spherical at a generic point, and a …
nonminimal hypersurfaces $ M\subset\mathbb {C}^ 2$, spherical at a generic point, and a …
Divergent CR-equivalences and meromorphic differential equations
I Kossovskiy, R Shafikov - Journal of the European Mathematical Society, 2016 - ems.press
Divergent CR-equivalences and meromorphic differential equations Page 1 DOI 10.4171/JEMS/653
J. Eur. Math. Soc. 13, 2785–2819 c European Mathematical Society 2016 Ilya Kossovskiy …
J. Eur. Math. Soc. 13, 2785–2819 c European Mathematical Society 2016 Ilya Kossovskiy …
[HTML][HTML] Stationary discs and finite jet determination for non-degenerate generic real submanifolds
F Bertrand, L Blanc-Centi, F Meylan - Advances in Mathematics, 2019 - Elsevier
Abstract Let M⊂ CN be a generic real submanifold of class C 4. In case M is Levi non-
degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M …
degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M …
Two decades of finite jet determination of CR mappings
Two decades of finite jet determination of CR mappings | Complex Analysis and its Synergies
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A Counterexample to the -jet determination Chern-Moser Theorem in higher codimension
F Meylan - arXiv preprint arXiv:2003.11783, 2020 - arxiv.org
arXiv:2003.11783v1 [math.CV] 26 Mar 2020 Page 1 arXiv:2003.11783v1 [math.CV] 26 Mar
2020 A COUNTEREXAMPLE TO THE 2-JET DETERMINATION CHERN-MOSER THEOREM …
2020 A COUNTEREXAMPLE TO THE 2-JET DETERMINATION CHERN-MOSER THEOREM …
Construction of counterexamples to the jet determination Chern-Moser Theorem in higher codimension
J Gregorovič, F Meylan - arXiv preprint arXiv:2010.10220, 2020 - arxiv.org
We first construct a counterexample of a generic quadratic submanifold of codimension $5 $
in $\Bbb C^ 9$ which admits a real analytic infinitesimal CR automorphism with …
in $\Bbb C^ 9$ which admits a real analytic infinitesimal CR automorphism with …
Nondefective stationary discs and 2-jet determination in higher codimension
F Bertrand, F Meylan - The Journal of Geometric Analysis, 2021 - Springer
Nondefective Stationary Discs and 2-Jet Determination in Higher Codimension |
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Remarks on the symmetries of a model hypersurface
M Kolář, F Meylan - Analysis Mathematica, 2022 - Springer
In this partly expository paper, we deal with sharp jet determination results following from a
generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with …
generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with …
Jet determination of smooth CR automorphisms and generalized stationary discs
F Bertrand, GD Sala, B Lamel - Mathematische Zeitschrift, 2020 - Springer
Jet determination of smooth CR automorphisms and generalized stationary discs |
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