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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, 2019, roč.~29, č.~4, s.~3135-3159. ISSN~1050-6926. Dostupné z: https://dx.doi.org/10.1007/s12220-018-00110-1.
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