Ottazzi, Alessandro

Schmalz, Gerd

2017

We consider hypersurfaces of finite type in a direct product space R²×R², which are analogues to real hypersurfaces of finite type in C². We shall consider separately the cases where such hypersurfaces are regular and singular, in a sense that corresponds to Levi degeneracy in hypersurfaces in C². For the regular case, we study formal normal forms and prove convergence by following Chern and Moser. The normal form of such an hypersurface, considered as the solution manifold of a 2nd order ODE, gives rise to a normal form of the corresponding 2nd order ODE. For the degenerate case, we study normal forms for weighted ℓ-jets. Furthermore, we study the automorphisms of finite type hypersurfaces.

Differential Geometry and its Applications, v.52, p. 78-93

1872-6984

0926-2245

https://hdl.handle.net/1959.11/21608

Elsevier BV, North-Holland

Normal forms of para-CR hypersurfaces

Journal Article

Publication