Detailed Information on Publication Record
2012
Free CR distributions
SLOVÁK, Jan and Gerd SCHMALZBasic information
Original name
Free CR distributions
Name in Czech
Volné CR distribuce
Authors
SLOVÁK, Jan (203 Czech Republic, guarantor, belonging to the institution) and Gerd SCHMALZ (276 Germany)
Edition
Central European Journal of Mathematics, 2012, 1895-1074
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Poland
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.405
RIV identification code
RIV/00216224:14310/12:00057986
Organization unit
Faculty of Science
UT WoS
000306731000020
Keywords in English
Cartan connection; Cartan curvature; Parabolic geometry; Fefferman construction
Tags
International impact, Reviewed
Změněno: 3/1/2013 14:30, prof. RNDr. Jan Slovák, DrSc.
V originále
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions n and codimensions n (2) are among the very few possibilities of the so-called parabolic geometries. Indeed, the homogeneous model turns out to be PSU(n+1,n)/P with a suitable parabolic subgroup P. We study the geometric properties of such real (2n+n (2))-dimensional submanifolds in for all n > 1. In particular, we show that the fundamental invariant is of torsion type, we provide its explicit computation, and we discuss an analogy to the Fefferman construction of a circle bundle in the hypersurface type CR geometry.
In Czech
Článek studuje výjimečné geometrie zděděné automaticky na generických plochách vysoké kodimenze v CR varietách. Využívá obecnou teorii parabolických geometrií k jejich studiu a podává také konstrukci analogickou k Feffermanově bandlu kružnic v případě kodimenze jedna.
Links
| GA201/08/0397, research and development project |
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