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projective twistor

См. также в других словарях:

  • Twistor space — In mathematics, twistor space is the complex vector space of solutions of the twistor equation . It was described in the 1960s by Roger Penrose and MacCallum[1]. According to Andrew Hodges, twistor space is useful for conceptualizing the way… …   Wikipedia

  • Twistor theory — The twistor theory, originally developed by Roger Penrose in 1967, is the mathematical theory which maps the geometric objects of the four dimensional space time (Minkowski space) into the geometric objects in the 4 dimensional complex space with …   Wikipedia

  • Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H …   Wikipedia

  • Riemann sphere — The Riemann sphere can be visualized as the complex number plane wrapped around a sphere (by some form of stereographic projection – details are given below). In mathematics, the Riemann sphere (or extended complex plane), named after the 19th… …   Wikipedia

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Erlangen program — An influential research program and manifesto was published in 1872 by Felix Klein, under the title Vergleichende Betrachtungen über neuere geometrische Forschungen . This Erlangen Program ( Erlanger Programm ) mdash; Klein was then at Erlangen… …   Wikipedia

  • Hopf fibration — In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3 sphere (a hypersphere in four dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it… …   Wikipedia

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

  • Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …   Wikipedia

  • Tractor bundle — In conformal geometry, the tractor bundle is a particular vector bundle constructed on a conformal manifold whose fibres form an effective representation of the conformal group (see associated bundle). The term tractor is a portmanteau of Tracey… …   Wikipedia

  • Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… …   Wikipedia

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