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- M. Salah Baouendi, L. P. ROTHSCHILD, Dmitri Zaitsev
- 2000

We show that for any real-analytic submanifold M in C there is a proper real-analytic subvariety V contained in M such that for any p âˆˆ M \V , any real-analytic submanifold M â€² in C , and any p âˆˆ M ,â€¦ (More)

- Peter Ebenfelt, Xiaojun Huang, Dmitri Zaitsev
- 2004

We consider local CR-immersions of a strictly pseudoconvex real hypersurface M âŠ‚ C, near a point p âˆˆM , into the unit sphere S âŠ‚ C with d > 0. Our main result is that if there is such an immersion fâ€¦ (More)

- Wilhelm Kaup, Dmitri Zaitsev
- 2000

The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a # M, there exists anâ€¦ (More)

- ALAN HUCKLEBERRY, Dmitri Zaitsev
- 1995

The origin of this work is found in the study of automorphisms of domains D in C, n > 1. For example, suppose for the moment that D is relatively compact and recall that in this case the group Aut(D)â€¦ (More)

- Dmitri Zaitsev
- 1997

The topic of the paper is the study of germs of local holomorphisms f between C n and C n â€² such that f(M) âŠ‚ M â€² and df(T cM) = T cM â€² for M âŠ‚ C n and M â€² âŠ‚ C nâ€² generic real-analytic CR submanifoldsâ€¦ (More)

- Dmitri Zaitsev
- 1999

We prove that a germ of a holomorphic map f between Cn and Cn â€² sending one real-algebraic submanifold M âŠ‚ Cn into another M â€² âŠ‚ Cn â€² is algebraic provided M is generic and minimal and M â€² containsâ€¦ (More)

The classical Schwarz reflection principle states that a continuous map f between real-analytic curves M and M â€² in C that locally extends holomorphically to one side of M , extends alsoâ€¦ (More)

- Dmitri Zaitsev
- 2007

The purpose of this paper is to propose a method of constructing explicit examples of real submanifolds in C that do not admit holomorphic embeddings into hyperquardics of larger dimension. It isâ€¦ (More)

The present paper deals with the classical results of A. Weil [11] on regularization of pre-groups and pre-transformation spaces (see Definitions 3.1 and 4.1). As pointed out in [4], those purelyâ€¦ (More)

- Xiaojun Huang, Dmitri Zaitsev
- 2013

We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfacesâ€¦ (More)