Goo Ishikawa (Hokkaido University).
Determinacy, Transversality and Lagrange Stability.
Abstract:
For a class of singular Lagrange varieties, open Whitney umbrellas,
there are given Arnol'd-Mather type characterisations of Lagrange
stability via transversality in isotropic jet spaces.
Also determinacy of Lagrange stable isotropic map-germs is considered.
As an application, we provide an example of Lagrange stable isotropic
map-germ of corank one in itself and of corank two after the Lagrange
projection.