CR transversality of holomorphic mappings between generic submanifolds in complex spaces

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rigidity Properties of Mappings between Cr-submanifolds in Complex Space

We survey some recent results on holomorphic or formal mappings sending real submanifolds into each other in complex space.

متن کامل

Holomorphic Mappings of Complex Spaces

In §3, we consider the existence of holomorphic maps with a given rank on complex spaces countable at infinity. We use the method given here to make a remark on an imbedding theorem for holomorphically complete spaces due to R. Remmert [4]. The author is indebted to Professor H. Cartan for his suggestions and for pointing out that the space of holomorphic functions is complete even for non-norm...

متن کامل

Reflection ideals and mappings between generic submanifolds in complex space

Results on finite determination and convergence of formal mappings between smooth generic submanifolds in C are established in this paper. The finite determination result gives sufficient conditions to guarantee that a formal map is uniquely determined by its jet, of a preassigned order, at a point. Convergence of formal mappings for realanalytic generic submanifolds under appropriate assumptio...

متن کامل

On the Holomorphic Extension of Cr Distributions from Non Generic Cr Submanifolds of C

We give a holomorphic extension result from non generic CR submanifold of C of positive CR dimension. We consider N a non generic CR submanifold given by N = {N, h(N)} where N is a generic submanifold of some C and h is a CR map from N into C. We prove that if N is a hypersurface then any CR distribution on N extends holomorphically to a complex transversal wedge, we then generalize this result...

متن کامل

Pseudoholomorphic discs attached to CR - submanifolds of almost complex spaces

Let E be a generic real submanifold of an almost complex manifold. The geometry of Bishop discs attached to E is studied in terms of the Levi form of E. Résumé. Nous étudions la géométrie des disques de Bishop attachés à une sous-variété réelle générique d’une variété presque complexe. MSC: 32H02, 53C15.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2012

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-2011-11091-8