holonomy

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noun

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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Meanings

nounholonomy (countable and uncountable, plural holonomies)

plural holonomies

  1. countableuncountabledifferential geometryGiven 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.

Origin

From holo- + -nomy.

Full word history & related roots →
Cite this entry
APA

holonomy. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/holonomy

MLA

“holonomy.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/holonomy. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “holonomy,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/holonomy.

Source: holonomy on Wiktionary, CC BY-SA 4.0.