Definition of Holonomies. Meaning of Holonomies. Synonyms of Holonomies

- sometimes known as exotic holonomies. The search for examples ultimately led to a complete classification of irreducible affine holonomies by Merkulov and Schwachhöfer...
- Look up holonomic or holonomy in Wiktionary, the free dictionary. Holonomic (introduced by Heinrich Hertz in 1894 from the Gr**** ὅλος meaning "whole",...
- special unitary group. 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...
- known as the holonomy, which describes a mapping of the fiber into itself upon horizontal lift along a closed loop. The set of all holonomies itself forms...
- 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...
- a Riemannian product automatically implies a product structure of the holonomy groups. In 1952 De Rham considered the converse, proving that, if there...
- possible special groups that can appear as the holonomy group of a Riemannian metric. The manifolds of G2 holonomy are also called G2-manifolds. G2 is the automorphism...
- phenomenon is known as holonomy. Various generalizations capture in an abstract form this idea of curvature as a measure of holonomy; see curvature form...
- classification of Riemannian holonomy groups first raised the issue of the existence of non-symmetric manifolds with holonomy Sp(n)·Sp(1).Interesting results...