3-folds CR-embedded in 5-dimensional real hyperquadrics

نویسندگان

چکیده

E. Cartan’s method of moving frames is applied to 3-dimensional manifolds M which are CR-embedded in 5-dimensional real hyperquadrics Q order classify up CR symmetries given by the action one Lie groups SU(3,1) or SU(2,2). In latter case, structure derives from a shear-free null geodesic congruence on Minkowski spacetime, and relationship relativity discussed. both cases, we compute homogeneous 3-folds appear Q.

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2021

ISSN: ['1879-1662', '0393-0440']

DOI: https://doi.org/10.1016/j.geomphys.2021.104107