Address: Università degli Studi di Lecce, Dipartimento di Matematica Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy
E-mail: giovanni.calvaruso@unile.it
Abstract: We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
AMSclassification: primary 53C50; secondary 53C15, 53C25, 53C35.
Keywords: conformally flat manifolds, semi-symmetric and pseudo-symmetric spaces, homogeneous and curvature homogeneous spaces.