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余弦定理在双曲平面上的推广
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作者 李玉萍 王志军 《新乡师范高等专科学校学报》 2004年第5期8-10,共3页
常高斯曲率曲面上的测地三角形,也存在余弦定理,证明了在双曲平面(k=-1)上的测地三角形,其边长分别为a、b、c,b、c边的夹角为a,它们满足以下余弦定理:在H^2(-1)上:cha=chbchc-shbshccosa。
关键词 双曲平面 余弦定律 测地三角形 非平坦空间
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Three-dimensional Spaces of Quasi-constant Curvature
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作者 蒋声 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第2期32-35,共4页
In this paper some properties of three-dimensional spaces of quasi-constant curvature different from those of cases when dimension n≥4 are proved. In particular, two classes of non-conformally flat solutions of them ... In this paper some properties of three-dimensional spaces of quasi-constant curvature different from those of cases when dimension n≥4 are proved. In particular, two classes of non-conformally flat solutions of them are constructed. In physics,a three-dimensional space of quasi-constant curvature appears as the space-like hypersurface of the rotation-free cosmological model of type D for the fluids with heat flow in General Relativity. 展开更多
关键词 spaces of quasi-constant curvature non-conformally flat METRIC
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