TY - JOUR
A2 - Tomassini, Giuseppe
AU - Merker, Joël
PY - 2017
DA - 2017/03/28
TI - On Propagation of Sphericity of Real Analytic Hypersurfaces across Levi Degenerate Loci
SP - 1314874
VL - 2017
AB - A connected real analytic hypersurface M⊂Cn+1 whose Levi form is nondegenerate in at least one point—hence at every point of some Zariski-dense open subset—is locally biholomorphic to the model Heisenberg quadric pseudosphere of signature (k,n-k) in one point if and only if, at every other Levi nondegenerate point, it is also locally biholomorphic to some Heisenberg pseudosphere, possibly having a different signature (l,n-l). Up to signature, pseudosphericity then jumps across the Levi degenerate locus and in particular across the nonminimal locus, if there exists any.
SN - 2314-4963
UR - https://doi.org/10.1155/2017/1314874
DO - 10.1155/2017/1314874
JF - Journal of Complex Analysis
PB - Hindawi
KW -
ER -