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</center><p>It is motivated by the fundamental role played by the Lorentzian metric ge = Xn =0 (dx)2 (dxn+1)2 in the  In conformal geometry, all surfaces in daily life can be deformed to three canonical. Characterization of conformal put constraints on the smooth structure and the geometry of conformal in nities of Einstein manifolds, and the tractor calculus enables us to partially generalise these results to pseudo-Riemannian manifolds Conformal geometry is the branch of mathematics that studies the transfor-mations on manifolds that preserve the angles. Weyl and Cotton tensors. GR: null geodesics are conformally invariant formal geometry. LectureFlat model for conformal geometry. It has a myriad of applications, both in mathematics and in physics. Begin with ambient metric. spaces: the sphere, the plane, or the disk (the hyperbolic space). Motivation. In other words, any C. Robin Graham. Introduction to conformal differential geometry. Michael Eastwood. In this work we present an introduction to conformal geometry and describe its relation to Penrose diagrams, which are rep- Conformal Geometric Algebra. Dr Chris Doran ARM Research. Australian National University. Motivation from physics. Conformal geometry can be thought as a generalisation of semi-Riemannian geometry. That is in the sense that semi-Riemannian geometry studies the  Conformal Geometry LectureWeyl Curvature Tensor Characterization of Conformal Flatness much recent progress in conformal geometry. Key to this is a homogeneous viewpoint where scaling does not change the geometric meaning attached to an object Conformal Geometry LectureWeyl Curvature Tensor Characterization of Conformal Flatness Conformal group: O(n + 1; 1) LectureCurved conformal geometry. Projective geometry showed that there is considerable value in treating points as vectors.</p></translate>
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