Result: REGULARITY OF RIGID CR HYPERSURFACES IN A SPHERE
Title:
REGULARITY OF RIGID CR HYPERSURFACES IN A SPHERE
Authors:
Source:
Proceedings of the American Mathematical Society. 139(1):129-137
Publisher Information:
Providence, RI: American Mathematical Society, 2011.
Publication Year:
2011
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Algèbre, Algebra, Géométrie algébrique, Algebraic geometry, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Hypersurface, Hipersuperficie, Régularité, Regularity, Regularidad, Sphère, Sphere, Esfera, Variété complexe, Complex manifold, Variedad compleja, Variété lisse, Smooth manifolds, 14J70, 32M10, 32Qxx, 32Vxx
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICS EDUCATION, KANGWON NATIONAL UNIVERSITY, 123 HYOJA-DONG, CHUNCHEON, KANGWON-DO, 200-701, Korea, Republic of
ISSN:
0002-9939
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23790664
Database:
PASCAL Archive
Further Information
Let M be a germ of a smooth CR manifold of hypersurface type of dimension 2n + 1 in a sphere S of dimension 2N + 1 with n < N. In this paper, we show that if M is rigid and if N - n < n/2, then there exists a complex manifold V of (complex) dimension n + 1 intersecting S transversally such that M = S ∩ V. As a consequence, we show that M is real analytic.