geodesic convexity

См. также в других словарях:

• Geodesic convexity — In mathematics mdash; specifically, in Riemannian geometry mdash; geodesic convexity is a natural generalization of convexity for sets and functions to Riemannian manifolds. It is common to drop the prefix geodesic and refer simply to convexity… …   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

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• Convex metric space — An illustration of a convex metric space. In mathematics, convex metric spaces are, intuitively, metric spaces with the property any segment joining two points in that space has other points in it besides the endpoints. Formally, consider a… …   Wikipedia

• Gauss's lemma (Riemannian geometry) — In Riemannian geometry, Gauss s lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let M be a Riemannian manifold, equipped with its… …   Wikipedia

• Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… …   Wikipedia

• James W. Cannon — (b. January 30, 1943) is an American mathematician working in the areas of low dimensional topology and geometric group theory. He is an Orson Pratt Professor of Mathematics at the Brigham Young University.Biographical dataJames W. Cannon was… …   Wikipedia

• Mathematical morphology — A shape (in blue) and its morphological dilation (in green) and erosion (in yellow) by a diamond shape structuring element. Mathematical morphology (MM) is a theory and technique for the analysis and processing of geometrical structures, based on …   Wikipedia

• dome — I (New American Roget s College Thesaurus) n. vault, cupola. See covering, convexity. II (Roget s IV) n. 1. [A hemispherical roof] Syn. cupola, top, bulge, vault, onion dome, coving, mosque roof, church roof, bubble dome, geodesic dome, rotunda,… …   English dictionary for students

• Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) …   Wikipedia