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arxiv: 1307.3376 · v2 · pith:LKXHFLQGnew · submitted 2013-07-12 · 🧮 math.NA · math-ph· math.DG· math.MP

Exact formulas for the approximation of connections and curvature

classification 🧮 math.NA math-phmath.DGmath.MP
keywords curvaturealongapproximationboundarycalculusconnectionscurvedefinition
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First we express the holonomy along a boundary curve as the integral on the domain, of an expression which is linear in the curvature. Then we provide a rigorous justification of the definition of curvature in Regge calculus.

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