Extremal discs and the regularity of CR mappings in higher codimension

Authors
Tumanov, A
Citation
A. Tumanov, Extremal discs and the regularity of CR mappings in higher codimension, AM J MATH, 123(3), 2001, pp. 445-473
Citations number
25
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327 → ACNP
Volume
123
Issue
3
Year of publication
2001
Pages
445 - 473
Database
ISI
SICI code
0002-9327(200106)123:3<445:EDATRO>2.0.ZU;2-O
Abstract
We develop a local theory of extremal analytic discs attached to a strictly pseudoconvex manifold of higher codimension in complex space. We then appl y the results to prove the regularity of CR homeomorphisms of such manifold s.