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

orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...

transformations that preserve the conformal geometry of the space. Several specific conformal groups are particularly important: The conformal orthogonal group. If...

make a conformal rescaling of the metric with a conformal factor which falls off sufficiently fast to 0 as we approach infinity to get the conformal boundary...

called a conformal Killing vector, CKV, or conformal colineation), is a vector field X {\displaystyle X} whose (locally defined) flow defines conformal transformations...

Conformal gravity refers to gravity theories that are invariant under conformal transformations in the Riemannian geometry sense; more accurately, they...

Contact structure Contact geometry Hamiltonian system Sasakian manifold Poisson manifold Möbius transformation Conformal map conformal connection tractor bundle...

Look up conformal in Wiktionary, the free dictionary. Conformal may refer to: Conformal (software), in ASIC Software Conformal coating in electronics Conformal...

Laakso, Conformal Assouad dimension and modulus. Geometric and Functional Analysis, vol 14 (2004), no. 6, pp. 1278–1321. I. Mineyev, Metric conformal structures...

these are conformal maps, and in fact, where the space has three or more dimensions, the mappings generated by inversion are the only conformal mappings...

past conformal boundary of one copy of FLRW spacetime can be "attached" to the future conformal boundary of another, after an appropriate conformal rescaling...

In projective geometry, a special conformal transformation is a linear fractional transformation that is not an affine transformation. Thus the generation...

In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein...

Graphics using Conformal Geometric Algebra, PhD thesis, University of Cambridge, pp. 14–26, 31—67 Bromborsky, A. (2008), Conformal Geometry via Geometric...

differential geometry, a Weyl connection (also called a Weyl structure) is a generalization of the Levi-Civita connection that makes sense on a conformal manifold...

example, in Riemannian geometry distances and angles are specified, in symplectic geometry volumes may be computed, in conformal geometry only angles are specified...

and medical imaging. Computational quasi-conformal geometry has been developed, which extends the quasi-conformal theory into a discrete setting. It has...

special case that the Weyl tensor is zero; this has been significant in conformal geometry. In 2017, they released a preprint claiming the general case, in which...

flat metric times the conformal factor 1 − 2 G M r {\displaystyle 1-{\frac {2GM}{r}}} . Weyl–Schouten theorem conformal geometry Yamabe problem Ray D'Inverno...

and Conformal invariants (1973). He made decisive contributions to meromorphic curves, value distribution theory, Riemann surfaces, conformal geometry, quasiconformal...

In non-Euclidean geometry, the Poincaré half-plane model is a way of representing the hyperbolic plane using points in the familiar Euclidean plane. Specifically...

The Riemann surface's conformal structure does, however, determine a class of metrics: all those whose subordinate conformal structure is the given one...

replacement of the spacetime picture with a picture of evolving spatial conformal geometry opens the door for a number of new approaches to quantum gravity....

mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...

In differential geometry and mathematical physics (especially string theory), the Polyakov formula expresses the conformal variation of the zeta functional...

as the (conformal) obstruction tensor. It is, along with the Weyl tensor, one of the two primitive invariants in conformal differential geometry. Aside...

In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous...

Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...

specializing in differential geometry, partial differential equations and CR manifolds. He is best known for his work in Conformal geometry for his study of extremal...

An Einstein–Weyl geometry is a smooth conformal manifold, together with a compatible Weyl connection that satisfies an appropriate version of the Einstein...