比较定理 the comparison theorem
A Note on Comparison Theorems for Nonnegative Matrices
9月是什么星座In Riemannian geometry市场失灵 it is a traditional name for a number of theorems that compare various metrics and provide various estimates in Riemannian geometry.锦鲤混养最佳搭配
∙ Rauch comparison theorem relates the ctional curvature of a Riemannian manifold to the rate at which its geodesics spread apart.
∙ Toponogov's theorem
∙ 甲供材Myers's theorem
∙ Hessian comparison theorem
∙ Laplacian comparison theorem
∙ Mor–Schoenberg comparison theorem
∙ Berger comparison theorem, Rauch–Berger comparison theorem, M. Berger, "An Extension of Rauch's Metric Comparison Theorem and some Applications", llinois J. Math., vol. 6 (1962) 700–712
银瓶山森林公园∙ 爱国的Berger–Kazdan comparison theorem 合肥旅游景点[2]
∙ Warner comparison theorem for lengths of N-Jacobi fields牛背山 (N being a submanifold of a complete Riemannian manifold) F.W. Warner, "Extensions of the Rauch Comparison Theorem to Submanifolds" (Trans. Amer. Math. Soc., vol. 122, 1966, pp. 341–356).