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Translationally isotropic flat homogeneous manifolds with metric signature (n, 2)

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Abstract

In the following paper we classify the connected flat homogeneous spacesM of metric signature (n, 2) with translationally isotropic associated domain.UIR ns whereIR ns denotesIR n with the usual flat metric istranslationally isotropic if the set of all translations which leaveU invariant contains its perpendicular space. IfU is the image of the universal cover ofM under the development map thenU is called theassociated domain ofM.

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Duncan, D.C., Ihrig, E.C. Translationally isotropic flat homogeneous manifolds with metric signature (n, 2). Ann Glob Anal Geom 11, 3–24 (1993). https://doi.org/10.1007/BF00773360

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  • DOI: https://doi.org/10.1007/BF00773360

MSC 1991

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