geometry, a projective connection is a type of Cartan connection on a differentiable manifold. The structure of a projective connection is modeled on...

connection is a special connection associated to the metric tensor. These are examples of affine connections. There is also a concept of projective connection...

the oldest part of the theory (for the projective line), namely the Schwarzian derivative, the simplest projective differential invariant. Further work...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...

PSU(p+1,q+1), P = stabilizer of a point on the projective null hyperquadric. Contact projective connections: Here G = SP(2n+2) and P is the stabilizer of...

variety Projective linear group Projective module Projective line Projective object Projective transformation Projective hierarchy Projective connection Projective...

In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations...

space Gauss–Bolyai–Lobachevsky space Grassmannian Complex projective space Real projective space Euclidean space Stiefel manifold Upper half-plane Sphere...

study of unparametrized families of geodesics, via the associated projective connection. In relativity theory, such ideas have been implemented in the form...

Geodesics without a particular parameterization are described by a projective connection. Efficient solvers for the minimal geodesic problem on surfaces...

^{n}} , he constructed a projective connection used in studying systems of differential equations known as the Hachtroudi Connection. His subsequent research...

his disavowal of Project 2025, but in the same month Project 2025 Director Paul Dans confirmed that his team had ongoing connections with Trump's campaign...

geodesics are often studied from the point of view of projective connections. An affine connection defines a notion of development of curves. Intuitively...

properties of projective schemes extend to this context. For example, there exists an analog of the celebrated Serre duality for noncommutative projective schemes...

manifolds. In projective geometry, the sphere is an example of a complex projective space and can be thought of as the complex projective line P 1 ( C...

powerful connection of the subject with convex geometry. Familiar examples of toric varieties are affine space, projective spaces, products of projective spaces...

In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V...

is essentially the only projective invariant of a quadruple of collinear points; this underlies its importance for projective geometry. The cross-ratio...

has a projective structure. Gunning in 1966 describes how this process can be reversed: for genus p > 1, the existence of a projective connection, defined...

isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. In terms of matrices...

Mettler, Thomas; Paternain, Gabriel (2020), "Convex projective surfaces with compatible Weyl connection are hyperbolic", Analysis & PDE, 13 (4): 1073–1097...

of projective identification differs from projection in that the other person is expected to become identified with the impulse or desire projected outside...

Connections is a science education television series created, written, and presented by British science historian James Burke. The series was produced...

considered for flat affine and projective structures, as well as for more general projective connections and conformal connections. Kobayashi (2005), sections...

The French Connection is a 1971 American neo-noir action thriller film directed by William Friedkin and starring Gene Hackman, Roy Scheider, and Fernando...

structure of infinite groups" "Spaces with conformal connections" "On manifolds with projective connections" "The unitary theory of Einstein–Mayer" "E. Cartan...

a projective plane, the theorem (which in this case is referred to as the Bruck–Ryser theorem) can be stated as follows: If a finite projective plane...

recent years, in connection with the modularity theorem and its extensions). Thus, the base space of the bundle is taken to be the projective line. For a fixed...

Cartan conformal connection, and later rediscovered within the formalism of local twistors and generalized to projective connections by Michael Eastwood...