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Commensurability (mathematics) — This article is about the meaning of commensurable and derived words in mathematics. For other senses, see Commensurability (disambiguation). In mathematics, two non zero real numbers a and b are said to be commensurable if a/b is a rational… … Wikipedia
Myers theorem — The Myers theorem, also known as the Bonnet Myers theorem, is a classical theorem in Riemannian geometry.It states that if Ricci curvature of a complete Riemannian manifold M is bounded below by ( n − 1) k > 0, then its diameter is at most pi;/… … Wikipedia
Myers's theorem — The Myers theorem, also known as the Bonnet–Myers theorem, is a classical theorem in Riemannian geometry. The strong form was proven by Sumner Byron Myers. The theorem states that if Ricci curvature of a complete Riemannian manifold M is bounded… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Volume form — In mathematics, a volume form is a nowhere zero differential n form on an n manifold. Every volume form defines a measure on the manifold, and thus a means to calculate volumes in a generalized sense. A manifold has a volume form if and only if… … Wikipedia

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