A Counterexample to the $2$-jet determination Chern-Moser Theorem in higher codimension

Abstract

One constructs an example of a generic quadratic submanifold of codimension $5$ in ${\mathbb{C}}^9$ which admits a real analytic infinitesimal CR automorphism with homogeneous polynomial coefficients of degree $3.$

References in corpus (3)

• The equivalence and the embedding problems for CR-structures of any codimension
• Finite jet determination of CR mappings
• Stationary discs and finite jet determination for non-degenerate generic real submanifolds

Cited by in corpus (1)

• Construction of counterexamples to the $2-$jet determination Chern-Moser Theorem in higher codimension