ÁNOS P ALLAGI , B ENEDEK S CHULTZ , J ENÖ S ZIRMAI On Regular Square Prism Tilings in S̃L 2 R Space On Regular Square Prism
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چکیده
The SL2R Lie-group consists of the real 2× 2 matrices ( d b c a ) with unit determinant ad − cb = 1. The S̃L2R geometry is the universal covering group of this group, and is a Lie-group itself. Because of the 3 independent coordinates, S̃L2R is a 3-dimensional manifold, with its usual neighbourhood topology. In order to model the above structure on the projective sphere PS3 and space P3 we introduce the new projective coordinates (x0,x1,x2,x3), where
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