In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is precisely the …

at the 2014 summer school Asymptotic Analysis in General Relativity held in Grenoble by the Institut Fourier. The first four lectures deal with conformal geometry and the conformal tractor cal.

Conformal geometry is concerned with the properties of angle-preserving geomet-ric transformations. Conformal geometry, as a branch of differential geometry, has a long story going back to the work of …

There is always c for which this PDE (called a Yamabe-type equation) has a solution for the conformal factor u. One may also reorganize the equation as to make the coefficient of 4g equal to 1, so 4gu (n …

Jan 13, 2024 · The branch of geometry in which properties of figures are studied that are invariant under conformal transformations (cf. Conformal transformation). The main invariant in conformal geometry …

v 2 TpM Isometry: preserves lengths Conformal geometry: Can only measure angles: (v; w);

nstant curvature metric conformal to its original metric. Finally, we discuss a strategy, due to Hamilton and others, to prove c rtain cases of the uniformization theorem using Ricci ow. Our discussion here …

Conformal geometry is in the intersection of many fields in pure mathematics, such as Riemann surface theory, differential geometry, algebraic curves, algebraic topology, par-tial differential geometry, …

In the lecture notes, the author will survey the development of conformal geometry on four dimensional manifolds. The topic she chooses is one on which she has been involved in the past twenty or more …

Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property may be described in terms of the Jacobian derivative …