A new characteristic of Möbius transformations in hyperbolic geometry |
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| Authors: | Shihai Yang Ainong Fang |
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| Affiliation: | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, PR China |
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| Abstract: | We present a new characterization of Möbius transformations by using two classes of hyperbolic geometric objects: Lambert quadrilaterals and Saccheri quadrilaterals. The proof is based on a geometric approach. |
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| Keywords: | Mö bius transformations Lambert quadrilaterals Saccheri quadrilaterals |
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