5 papers
A survey on normal forms of real submanifolds with CR singularity
Xianghong Gong, Laurent Stolovitch
We survey results dating back from the seminal works of Bishop and Moser-Webster as well as more recent advances.
Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Jessica Elisa Massetti, Michela Procesi, Laurent Stolovitch
In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at . Under suitable hypotheses we prove the existence of analytic…
On neighborhoods of embedded toroidal and Hopf manifolds and their foliations
Laurent Stolovitch, Xiaojun Wu
In this article, we give completely new examples of embedded complex manifolds the germ of neighborhood of which is holomorphically equivalent to a germ of neighborhood of the zero…
On neighborhoods of projective space bundles over elliptic curves
Takayuki Koike, Laurent Stolovitch
We give conditions ensuring that a neighborhood of an embedded projective space bundle over an elliptic curve is holomorphically equivalent to a neighborhood of the zero section of…
Local rigidity of group actions of isometries on compact Riemannian manifolds
Laurent Stolovitch, Zhiyan Zhao
In this article, we consider perturbations of isometries on a compact Riemannian manifold . We investigate the smooth (resp. analytic) rigidity phenomenon of groups of these iso…