Translationally isotropic flat homogeneous manifolds with metric signature (n, 2) |
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| Authors: | Della C Duncan and Edwin C Ihrig |
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| Institution: | (1) Department of Mathematics, California State University, 93740 Fresno, CA, USA;(2) Department of Mathematics, Arizona State University, 85287 Tempe, AZ, USA |
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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.U  IR
s
n
whereIR
s
n
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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| Keywords: | 53 58 |
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