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holonomy
This term is a highly specialized technical expression used almost exclusively in differential geometry and theoretical physics. It describes a specific geometric phenomenon where a vector or frame, when moved along a closed path while remaining parallel to itself, does not return to its starting orientation. This discrepancy serves as a direct measure of the curvature of the manifold.
In a mathematical context, the term is typically used as an uncountable noun referring to the general concept or the specific group of transformations associated with a connection. While one might discuss the holonomy of a specific connection, it is rarely pluralized in standard academic literature.