Browsing by Author "ZAITSEV, DMITRI"
Now showing items 21-36 of 36
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Lie group structures on automorphism groups of real-analytic CR manifolds
(The Johns Hopkins University Press, 2008)Given any real-analytic CR manifold M, we provide general conditions on M guar- anteeing that the group of all its global real-analytic CR automorphisms AutCR(M) is a Lie group (in an appropriate topology). In particular, ... -
Obstructions to embeddability into hyperquadrics and explicit examples
(Springer, 2008)We give series of explicit examples of Levi-nondegenerate real-analytic hypersurfaces in complex spaces that are not transversally holomorphically embeddable into hyperquadrics of any dimension. For this, we construct ... -
On Levi-flat hypersurfaces with prescribed boundary
(2010)We address the problem of existence and uniqueness of a Levi-flat hypersurface M in ?n with prescribed compact boundary S for n ? 3. The situation for n ? 3 differs sharply from the well studied case n = 2. We first establish ... -
On local CR-transformation of Levi-degenerate group orbits in compact Hermitian symmetric spaces
(European Mathematical Society, 2006) -
On symmetric Cauchy-Riemann manifolds
(Elsevier, 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 an involutory isometric ... -
On the automorphism groups of algebraic bounded domains
(Springer, 1995) -
Remarks on the rigidity of CR-manifolds
(NUMDAM, 2006)A method is proposed to obtain examples of smooth CR-manifolds whose local stability group is neither a Lie group nor infinite-dimensional.
