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bounded curvature

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  • Ricci curvature — In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci Curbastro, provides one way of measuring the degree to which the geometry determined by a given Riemannian metric might differ from that of ordinary Euclidean n… …   Wikipedia

  • Circle of curvature — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

  • Curvelet — Curvelets are a non adaptive technique for multi scale object representation. Being an extension of the wavelet concept, they are becoming popular in similar fields, namely in image processing and scientific computing. Wavelets generalize the… …   Wikipedia

  • Shape of the Universe — Edge of the Universe redirects here. For the Bee Gees song, see Edge of the Universe (song). The local geometry of the universe is determined by whether Omega is less than, equal to or greater than 1. From top to bottom: a spherical universe, a… …   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

  • Shing-Tung Yau — at Harvard Law School dining hall Born …   Wikipedia

  • Collapsing manifold — For the concept in homotopy, see collapse (topology). In Riemannian geometry, a collapsing or collapsed manifold is an n dimensional manifold M that admits a sequence of Riemannian metrics gn, such that as n goes to infinity the manifold is close …   Wikipedia

  • Nadirashvili surface — In differential geometry, a Nadirashvili surface is an immersed complete bounded minimal surface in R3 with negative curvature. The first example of such a surface was constructed by Nadirashvili (1996). This simultaneously answered a question of …   Wikipedia

  • Grigori Jakowlewitsch Perelman — 1993 Grigori Jakowlewitsch Perelman (russisch Григорий Яковлевич Перельман, wiss. Transliteration Grigorij Jakovlevič Perel man; * 13. Juni 1966 in Leningrad) i …   Deutsch Wikipedia

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Minimal volume — In mathematics, in particular in differential geometry, the minimal volume is a number that describes one aspect of a Riemannian manifold s topology. This invariant was introduced by Mikhail Gromov. Contents 1 Definition 2 Related topological… …   Wikipedia

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