相对论速度与双曲几何  

The Relativized Velocity and Hyperbolic Geometry

作　　者：费保俊[1] 张硕斌 叶凡[1] 

机构地区：[1]装甲兵工程学院理化教研室

出　　处：《装甲兵工程学院学报》1994年第3期37-42,共6页Journal of Academy of Armored Force Engineering

摘　　要：本文试图将非欧几何之——双曲几何引入狭义相对论.结果表明,在一定的映射关系下,双曲坐标变换对应于相对论速度变换,双曲几何空间构成伪欧速度空间的等距浸入子空间.The paper introduces the one of non- Euclidean geometry - hyperbolic geometry into special theory of relativity. With special relational expression,we prove that the coordinate alternate of hyperbolic geometry correspond to relativized velocity's alternate and the hyperbolic space is a part embedded equidistantly in pseudo -Euclidean space of velocity.

关 键 词：相对论 双曲几何 等距浸入 

分 类 号：O186.1[理学—数学]