Remarks on CR-manifolds of codimension $2$ in $C^4$

Schmalz, Gerd

The search session has expired. Please query the service again.

Displaying similar documents to “Remarks on CR-manifolds of codimension $2$ in $C^{4}$ ”

Generic subgroups of Aut $𝔹^{n}$

Chiara de Fabritiis (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We prove that for a parabolic subgroup $Γ$ of $Aut 𝔹^{n}$ the fixed points sets of all elements in $Γ ∖ {{id}_{𝔹^{n}}}$ are the same. This result, together with a deep study of the structure of subgroups of $Aut 𝔹^{n}$ acting freely and properly discontinuously on $𝔹^{n}$ , entails a generalization of the so called weak Hurwitz’s theorem: namely that, given a complex manifold $X$ covered by $𝔹^{n}$ and such that the group of deck transformations of the covering is “sufficiently generic”, then ${id}_{X}$ is isolated in $Hol (X, X)$ .

Unique determination of local $C R$ -maps by their jets: a survey

Dmitri Zaitsev (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

We survey results on unique determination of local $C R$ -automorphisms of smooth $C R$ -manifolds and of local biholomorphisms of real-analytic $C R$ -submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.

Special normal form of a hyperbolic CR-manifold in ℂ⁴

Vladimir V. Ežov, Gerd Schmalz (1998)

Annales Polonici Mathematici

Similarity:

We give a special normal form for a non-semiquadratic hyperbolic CR-manifold M of codimension 2 in ℂ⁴, i.e., a construction of coordinates where the equation of M satisfies certain conditions. The coordinates are determined up to a linear coordinate change.

Some special geometry in dimension six

Čap, Andreas, Eastwood, Michael

Similarity:

Motivated by the study of CR-submanifolds of codimension $2$ in $ℂ^{4}$ , the authors consider here a $6$ -dimensional oriented manifold $M$ equipped with a $4$ -dimensional distribution. Under some non-degeneracy condition, two different geometric situations can occur. In the elliptic case, one constructs a canonical almost complex structure on $M$ ; the hyperbolic case leads to a canonical almost product structure. In both cases the only local invariants are given by the obstructions to integrability...

Displaying similar documents to “Remarks on CR-manifolds of codimension 2 in C 4 ”

Generic subgroups of Aut 𝔹 n

Unique determination of local C ⁢ R -maps by their jets: a survey

Special normal form of a hyperbolic CR-manifold in ℂ⁴

Some special geometry in dimension six

Displaying similar documents to “Remarks on CR-manifolds of codimension $2$ in $C^{4}$ ”

Generic subgroups of Aut $𝔹^{n}$

Unique determination of local $C R$ -maps by their jets: a survey