conformal structure

  • 1Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… …

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  • 2Conformal connection — In conformal differential geometry, a conformal connection is a Cartan connection on an n dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n sphere, viewed as the homogeneous space O+(n+1,1)/P where P… …

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  • 3Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …

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  • 4Conformal Killing equation — In conformal geometry, the conformal Killing equation on a manifold of space dimension n with metric g describes those vector fields X which preserve g up to scale, i.e. for some function λ (where is the Lie derivative). Vector fields that… …

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  • 5Structure formation — refers to a fundamental problem in physical cosmology. The universe, as is now known from observations of the cosmic microwave background radiation, began in a hot, dense, nearly uniform state approximately 13.7 Gyr ago. [cite journal |author=D.… …

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  • 6Conformal Cyclic Cosmology — The Conformal Cyclic Cosmology (CCC) is a cosmological model in the framework of general relativity, advanced by the theoretical physicist Sir Roger Penrose.[1][2] In CCC, the universe iterates through infinite cycles, with the future timelike… …

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  • 7Conformal fuel tank — An F 15E Strike Eagle fitted with conformal fuel tanks under the wing roots …

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  • 8Causal structure — This article is about the possible causal relationships among points in a Lorentzian manifold. For classification of Lorentzian manifolds according to the types of causal structures they admit, see Causality conditions. In mathematical physics,… …

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  • 9Riemann 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… …

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  • 10James 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… …

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