KOSSOVSKIY, Ilya, Bernhard LAMEL and Ming XIAO. Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces. Communications in Analysis and Geometry. International Press of Boston, Inc., 2021, vol. 29, No 1, p. 151-181. ISSN 1019-8385. Available from: https://dx.doi.org/10.4310/CAG.2021.v29.n1.a5.
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Basic information
Original name Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces
Authors KOSSOVSKIY, Ilya (643 Russian Federation, guarantor, belonging to the institution), Bernhard LAMEL and Ming XIAO.
Edition Communications in Analysis and Geometry, International Press of Boston, Inc. 2021, 1019-8385.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.078
RIV identification code RIV/00216224:14310/21:00118889
Organization unit Faculty of Science
Doi http://dx.doi.org/10.4310/CAG.2021.v29.n1.a5
UT WoS 000628715600005
Keywords in English CR-embeddings; holomorphic mappings; real hypersurfaces
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 10/5/2021 15:13.
Abstract
We provide regularity results for CR-maps from a real hypersur- face in n-dimensional complex space to a Levi-degenerate target hypersurface in a n + 1-dimensional space. 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.
Links
GA17-19437S, research and development projectName: Klasifikační problémy pro reálné nadplochy v komplexním prostoru
Investor: Czech Science Foundation
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