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@article{1641483,
author = {Gregorovic, Jan and Zalabová, Lenka},
article_location = {NEW YORK},
article_number = {4},
doi = {http://dx.doi.org/10.1007/s12220-018-00110-1},
keywords = {CR geometry; Homogeneous manifold; Webster metric},
language = {eng},
issn = {1050-6926},
journal = {JOURNAL OF GEOMETRIC ANALYSIS},
title = {On Symmetric CR Geometries of Hypersurface Type},
url = {https://link.springer.com/article/10.1007/s12220-018-00110-1#Bib1},
volume = {29},
year = {2019}
}
TY - JOUR
ID - 1641483
AU - Gregorovic, Jan - Zalabová, Lenka
PY - 2019
TI - On Symmetric CR Geometries of Hypersurface Type
JF - JOURNAL OF GEOMETRIC ANALYSIS
VL - 29
IS - 4
SP - 3135-3159
EP - 3135-3159
PB - SPRINGER
SN - 10506926
KW - CR geometry
KW - Homogeneous manifold
KW - Webster metric
UR - https://link.springer.com/article/10.1007/s12220-018-00110-1#Bib1
L2 - https://link.springer.com/article/10.1007/s12220-018-00110-1#Bib1
N2 - We study non-degenerate CR geometries of hypersurface type that are symmetric in the sense that, at each point, there is a CR transformation reversing the CR distribution at that point. We show that such geometries are either flat or homogeneous. We show that non-flat non-degenerate symmetric CR geometries of hypersurface type are covered by CR geometries with a compatible pseudo-Riemannian metric preserved by all symmetries. We construct examples of simply connected flat non-degenerate symmetric CR geometries of hypersurface type that do not carry a pseudo-Riemannian metric compatible with the symmetries.
ER -
GREGOROVIC, Jan a Lenka ZALABOVÁ. On Symmetric CR Geometries of Hypersurface Type. \textit{JOURNAL OF GEOMETRIC ANALYSIS}. NEW YORK: SPRINGER, roč.~29, č.~4, s.~3135-3159. ISSN~1050-6926. doi:10.1007/s12220-018-00110-1. 2019.
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