关键词 : 椭圆双曲空间 ; 时空结构 ; 度规矩阵 [gap=640]Key words: elliptic hyperbolic space; space-time structure; metric matrix
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在双曲空间中,考察椭圆的包含关系,对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。
Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.
在 双 曲空间中引进相应的椭圆概念、讨论椭圆的方程,并对椭圆的对称性等 几何性质做出细致考察。
The concept of ellipse is extended to hyperbolic space and the equation is discussed. Some geometric data of ellipse, such as symmetries, will be considered.
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