Math @ Duke

Publications [#355197] of Curtis W. Porter
Papers Published
 Porter, C, 3folds CRembedded in 5dimensional real hyperquadrics,
Journal of Geometry and Physics, vol. 163
(May, 2021) [doi]
(last updated on 2021/04/16)
Abstract: © 2021 Elsevier B.V. E. Cartan's method of moving frames is applied to 3dimensional manifolds M which are CRembedded in 5dimensional real hyperquadrics Q in order to classify M up to CR symmetries of Q given by the action of one of the Lie groups SU(3,1) or SU(2,2). In the latter case, the CR structure of M derives from a shearfree null geodesic congruence on Minkowski spacetime, and the relationship to relativity is discussed. In both cases, we compute which homogeneous CR 3folds appear in Q.


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