Definition of Holonomy. Meaning of Holonomy. Synonyms of Holonomy

Here you will find one or more explanations in English for the word Holonomy. Also in the bottom left of the page several parts of wikipedia pages related to the word Holonomy and, of course, Holonomy synonyms and on the right images related to the word Holonomy.

Definition of Holonomy

No result for Holonomy. Showing similar results...

Meaning of Holonomy from wikipedia

- In differential geometry, the holonomy of a connection on a smooth manifold is the extent to which parallel transport around closed loops fails to preserve...
- complex structure. M {\displaystyle M} has a Kähler metric with global holonomy contained in S U ( n ) {\displaystyle SU(n)} . These conditions imply that...
- classification of Riemannian holonomy groups first raised the issue of the existence of non-symmetric manifolds with holonomy Sp(n)·Sp(1). Interesting results...
- restricted holonomy group is contained in the symplectic group. A G2 manifold or Spin(7) manifold is a Riemannian manifold whose holonomy group is contained...
- manifold or Joyce manifold is a seven-dimensional Riemannian manifold with holonomy group contained in G2. The group G 2 {\displaystyle G_{2}} is one of the...
- phenomenon is known as holonomy. Various generalizations capture in an abstract form this idea of curvature as a measure of holonomy; see curvature form...
- Look up holonomic or holonomy in Wiktionary, the free dictionary. Holonomic (introduced by Heinrich Hertz in 1894 from the Gr**** ὅλος meaning "whole",...
- of Bertram Kostant, gave a new proof of Berger's classification of the holonomy groups of Riemannian manifolds. He subsequently began to work with Shiing-Shen...
- within the larger workings of the brain. This patch holography is called holonomy or windowed Fourier transformations. A holographic model can also account...
- to x {\displaystyle x} . Parallel transport can be used to define the holonomy group of the connection ∇ {\displaystyle \nabla } based at a point x {\displaystyle...