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' …
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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[HTML][HTML] Stationary discs and finite jet determination for CR mappings in higher codimension
A Tumanov - Advances in Mathematics, 2020 - Elsevier
We discuss stationary discs for generic CR manifolds and apply them to the problem of finite
jet determination for CR mappings. We prove that a C 2-smooth CR diffeomorphism of two C …
jet determination for CR mappings. We prove that a C 2-smooth CR diffeomorphism of two C …
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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Chern–Moser operators and weighted jet determination problems in higher codimension
L Blanc-Centi, F Meylan - International Journal of Mathematics, 2022 - World Scientific
Counterexamples to the 2-jet determination Chern–Moser Theorem in codimension d> 2
have recently been constructed [16]. We extend the Chern–Moser approach for …
have recently been constructed [16]. We extend the Chern–Moser approach for …
The 1-jet determination of stationary discs attached to generic CR submanifolds
F Bertrand, F Meylan - Complex Analysis and its Synergies, 2022 - Springer
The existence of a non-defective stationary disc attached to a non-degenerate model
quadric in CN is a necessary condition to ensure the unique 1-jet determination of the lifts of …
quadric in CN is a necessary condition to ensure the unique 1-jet determination of the lifts of …
Explicit construction of stationary discs and its consequences for nondegenerate quadrics
F Bertrand, F Meylan - arXiv preprint arXiv:2111.10201, 2021 - arxiv.org
We give an explicit construction of a key family of stationary discs attached to a
nondegenerate model quadric in $\mathbb {C}^ N $ and derive a necessary condition for …
nondegenerate model quadric in $\mathbb {C}^ N $ and derive a necessary condition for …
On nondegeneracy conditions for the Levi map in higher codimension: a survey
L Blanc-Centi, F Meylan - Complex Analysis and its Synergies, 2020 - Springer
We compare various definitions of nondegeneracy of the Levi map for real submanifolds of
higher codimension in C^ N CN and discuss the generalization to higher codimension of the …
higher codimension in C^ N CN and discuss the generalization to higher codimension of the …