8 citations · 19 across the 6 of their papers we have counts for
13 papers · 1 filter
A Burns-Krantz type theorem for domains with corners
L. Baracco, D. Zaitsev, G. Zampieri
The goal of this paper is twofold. First, to give purely local boundary uniqueness results for maps defined only on one side as germs at a boundary point and hence not necessarily…
Remarks on the rigidity of CR-manifolds
Sung-Yeon Kim, Dmitri Zaitsev
A method is proposed to obtain examples of smooth CR-manifolds whose local stability group is neither a Lie group nor infinite-dimensional.
On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
Wilhelm Kaup, Dmitri Zaitsev
Let be a real-analytic hypersurface in or, more generally, a CR-submanifold in a complex manifold of arbitrary CR-codimension. This paper addresses the question, when…
The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
P. Ebenfelt, X. Huang, D. Zaitsev
We consider the class of Levi nondegenerate hypersurfaces in $\bC^{n+1}$ that admit a local (CR transversal) embedding, near a point , into a standard nondegenerate hyp…
Rigidity of CR-immersions into spheres
Peter Ebenfelt, Xiaojun Huang, Dmitri Zaitsev
We consider local CR-immersions of a strictly pseudoconvex real hypersurface $M\subset\bC^{n+1}$, near a point , into the unit sphere $\mathbb S\subset\bC^{n+d+1}$ with $d>…
Approximation and convergence of formal CR-mappings
Francine Meylan, Nordine Mir, Dmitri Zaitsev
Let be a minimal real-analytic CR-submanifold and a real-algebraic subset through points and . We show that that any formal (ho…