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arxiv: 1512.07252 · v1 · pith:ML6LPCISnew · submitted 2015-12-22 · 🌀 gr-qc

A note on proper curvature collineations in Bianchi type IV space-times

classification 🌀 gr-qc
keywords collineationscurvaturebianchiproperspace-timestypeaboveadmits
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Curvature collineations of Bianchi type IV space-times are investigated using the rank of the 6X6 Riemann matrix and direct integration technique. From the above study it follows that the Bianchi type IV space-times possesses only one case when it admits proper curvature collineations. It is shown that proper curvature collineations form an infinite dimensional vector space.

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