On Propagation of Sphericity of Real Analytic Hypersurfaces across Levi Degenerate Loci
نویسندگان
چکیده
منابع مشابه
Levi-flat Hypersurfaces with Real Analytic Boundary
Let X be a Stein manifold of dimension at least 3. Given a compact codimension 2 real analytic submanifold M of X, that is the boundary of a compact Levi-flat hypersurface H, we study the regularity of H. Suppose that the CR singularities of M are an O(X)-convex set. For example, suppose M has only finitely many CR singularities, which is a generic condition. Then H must in fact be a real analy...
متن کاملHigher Order Invariants of Levi Degenerate Hypersurfaces
The first part of this paper considers higher order CR invariants of three dimensional hypersurfaces of finite type. Using a full normal form we give a complete characterization of hypersurfaces with trivial local automorphism group, and analogous results for finite groups. The second part considers hypersurfaces of finite Catlin multitype, and the Kohn-Nirenberg phenomenon in higher dimensions...
متن کاملRegularity of Cr-mappings into Levi-degenerate Hypersurfaces
We provide regularity results for CR-maps between real hypersurfaces in complex spaces of different dimension with a Levi-degenerate target. We address both the real-analytic and the smooth case. Our results allow immediate applications to the study of proper holomorphic maps between Bounded Symmetric Domains. 2010 Mathematics Subject Classification: Primary 32H40 Secondary 32H35 32V10
متن کاملSINGULAR LEVI-FLAT REAL ANALYTIC HYPERSURFACES By DANIEL BURNS and XIANGHONG GONG
We initiate a systematic local study of singular Levi-flat real analytic hypersurfaces, concentrating on the simplest nontrivial case of quadratic singularities. We classify the possible tangent cones to such hypersurfaces and prove the existence and convergence of a rigid normal form in the case of generic (Morse) singularities. We also characterize when such a hypersurface is defined by the v...
متن کاملNormal Forms of Real Hypersurfaces with Nondegenerate Levi Form
We present a proof of the existence and uniqueness theorem of a normalizing biholomorphic mapping to Chern-Moser normal form. The explicit form of the equation of a chain on a real hyperquadric is obtained. There exists a family of normal forms of real hypersurfaces including Chern-Moser normal form. 0. Introduction Let M be an analytic real hypersurface with nondegenerate Levi form in a comple...
متن کاملذخیره 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: Journal of Complex Analysis
سال: 2017
ISSN: 2314-4963,2314-4971
DOI: 10.1155/2017/1314874