Definition of Holonomy. Meaning of Holonomy. Synonyms of Holonomy

- 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...
- 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...
- 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...
- classification of Riemannian holonomy groups first raised the issue of the existence of non-symmetric manifolds with holonomy Sp(n)·Sp(1). Interesting results...
- Look up holonomic or holonomy in Wiktionary, the free dictionary. Holonomic (introduced by Heinrich Hertz in 1894 from the Gr**** ὅλος meaning "whole",...
- phenomenon is known as holonomy. Various generalizations capture in an abstract form this idea of curvature as a measure of holonomy; see curvature form...
- 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...
- 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...
- within the larger workings of the brain. This patch holography is called holonomy or windowed Fourier transformations. A holographic model can also account...