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general collineation

См. также в других словарях:

  • Collineation — In projective geometry, a collineation is a one to one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. All projective linear …   Wikipedia

  • General linear group — Group theory Group theory …   Wikipedia

  • Curvature collineation — A curvature collineation (often abbreviated to CC) is vector field which preserves the Riemann tensor in the sense that, where Rabcd are the components of the Riemann tensor. The set of all smooth curvature collineations forms a Lie algebra under …   Wikipedia

  • Matter collineation — A matter collineation (sometimes matter symmetry and abbreviated to MC) is a vector field that satisfies the condition, where Tab are the energy momentum tensor components. The intimate relation between geometry and physics may be highlighted… …   Wikipedia

  • Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… …   Wikipedia

  • Plan de Fano — Une représentation du plan de Fano En géométrie projective finie, le plan de Fano, nommé ainsi d après le mathématicien Gino Fano, est le plus petit plan projectif fini, c est à dire celui comportant le plus petit nombre de points et de droites,… …   Wikipédia en Français

  • Spacetime symmetries — refers to aspects of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important, for example, in simplifying solutions to many problems. Spacetime symmetries are used to simplify problems and …   Wikipedia

  • Fano plane — In finite geometry, the Fano plane (after Gino Fano) is the projective plane with the least number of points and lines: 7 each. GeometryPerhaps the best way to view the plane is via linear algebra. Using the standard construction via homogeneous… …   Wikipedia

  • Conformal vector field — A conformal vector field (often conformal Killing vector field and occasionally conformal or conformal collineation) of a Riemannian manifold (M,g) is a vector field X that satisfies: for some smooth real valued function φ on M, where denotes the …   Wikipedia

  • Nathan Mendelsohn — Nathan Saul Mendelsohn, CM, FRSC (April 14, 1917 – July 4, 2006) was an American born mathematician who lived and worked in Canada. Mendelsohn was a researcher in several areas of discrete mathematics, including group theory and combinatorics.… …   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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