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Flat Pseudo-Reimannian manifolds with a nilpotent transitive group of isometries
Authors:Della C Duncan  Edwin C Ihrig
Institution:(1) Department of Mathematics, California State University, 93740 Fresno, Ca.;(2) Department of Mathematics, Arizona State University, 85287 Tempe, Az.
Abstract:Flat pseudo-Riemannian manifolds with a nilpotent transitive group of isometries are shown to be complete. Also flat pseudo-Riemannian homogeneous manifolds with non-trivial holonomy are shown to contain a complete geodesic.
Keywords:Homogeneous flat pseudo-Riemannian manifolds  nilpotent isometry groups
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