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What does holonomy mean?

Looking for the meaning or definition of the word holonomy? Here's what it means.

Noun
  1. (differential geometry) Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P.
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Sasaki has obtained also a result on the structure of a conformally connected space whose group of holonomy fixes a point or a hypersphere.
In particular, in the case where the boundary holonomy is infinitely tangent to the identity, we determine the structure of the group of leafwise holomorphic automorphisms.

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