Canonical connection

Canonical connection

In mathematics, a canonical connection of a holomorphic vector bundle with a Hermitian structure, is the unique metric connection D, such that the part which increases the anti-holomorphic type D`` annihilates holomorphic sections.


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Canonical Acts —     Canonical Acts     † Catholic Encyclopedia ► Canonical Acts     According to the old Roman jurisprudence, acts are the registers (acta) in which were recorded the official documents, the decisions and sentences of the judges. Acts designate… …   Catholic encyclopedia

  • Canonical quantization — In physics, canonical quantization is one of many procedures for quantizing a classical theory. Historically, this was the earliest method to be used to build quantum mechanics. When applied to a classical field theory it is also called second… …   Wikipedia

  • Connection form — In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan …   Wikipedia

  • Connection (vector bundle) — This article is about connections on vector bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; …   Wikipedia

  • Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

  • Linear canonical transformation — Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or graded index (GRIN) media, are Quadratic Phase Systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using… …   Wikipedia

  • Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …   Wikipedia

  • Focus recovery based on the linear canonical transform — Focus recovery from defocused image is an ill posed problem since it loses the component of high freqency. Most of the methods for focus revocery are based on depth estimation theory [Most of depth recovery methods are simply based on camera… …   Wikipedia

  • Cartan connection applications — This page covers applications of the Cartan formalism. For the general concept see Cartan connection.Vierbeins, et cetera The vierbein or tetrad theory much used in theoretical physics is a special case of the application of Cartan connection in… …   Wikipedia

  • Conformal connection — In conformal differential geometry, a conformal connection is a Cartan connection on an n dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n sphere, viewed as the homogeneous space O+(n+1,1)/P where P… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”