Flat Pseudo-Reimannian manifolds with a nilpotent transitive group of isometries |
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Authors: | Della C Duncan Edwin C Ihrig |
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Institution: | (1) Department of Mathematics, California State University, 93740 Fresno, Ca.;(2) Department of Mathematics, Arizona State University, 85287 Tempe, Az. |
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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. |
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Keywords: | Homogeneous flat pseudo-Riemannian manifolds nilpotent isometry groups |
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