双曲空间中的双曲线  

On Hyperbola in Hyperbolic Spaces

作　　者：寿乐丽[1] 徐晨东[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2015年第2期52-55,共4页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(11101230);宁波大学学科项目(XKL11D2051)

摘　　要：为了揭示双曲空间与欧氏空间的异同,在双曲空间中引进了双曲线的概念,并推导了双曲线的方程,进而研究了双曲线图像、渐近线和对称性等几何性质,最终所得结果较好地从一个侧面展示了双曲空间与欧氏空间的相异性.In order to reveal the difference between the hyperbolic space and Euclidean space, the hyperbola concept is introduced for the hyperbolic space and its equations are derived. Furthermore, the geometric properties such as graphs, asymptotic lines and symmetry are investigated. The results obtained show the dissimilarity of the hyperbolic space and Euclidean space from an alternative perspective.

关 键 词：双曲空间 双曲线 对称性 渐近线 

分 类 号：O186.1[理学—数学]