Bolyai和Lobachevsky双曲几何中的Möbius变换和Einsten速度加法
Möbius Transformation and Einsten Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky
摘要：
在这一章中，献给地米斯托克利60周年。Rassias、Möbius变换和Einstein速度加法在Bolyai和Lobachevsky的双曲几何中相遇。证明了从复圆盘的莫比乌斯变换中提取的莫比乌斯加法与爱因斯坦狭义相对论中的爱因斯坦加法在回转向量空间意义下是同构的。
英文摘要：
In this chapter, dedicated to the 60th Anniversary of Themistocles M. Rassias, Möbius transformation and Einstein velocity addition meet in the hyperbolic geometry of Bolyai and Lobachevsky. It turns out that Möbius addition that is extracted from Möbius transformation of the complex disc and Einstein addition from his special theory of relativity are isomorphic in the sense of gyrovector spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
