名词
中文翻译：里奇曼几何学
同义词：
['Riemannian manifold', 'Riemannian metric']
例句：
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1.In Riemannian geometry, the curvature of a surface is determined by its distance from a fixed point on the surface.
在里奇曼几何学中，一个曲面的曲率由它相对于曲面上固定点的距离决定。
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2. The Riemannian geometry of spacetime allows for the existence of non-Euclidean geometries, such as hyperbolic and elliptic spaces.
时空的里奇曼几何学允许存在非欧几里得几何学，如双曲和椭圆空间。
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3. The study of Riemannian geometry has led to important developments in the field of differential geometry.
里奇曼几何学的研究导致了微分几何学领域的重要发展。