proof ch:11-manifolds-tensors-curvature@proof-7

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2044

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proof : ch:11-manifolds-tensors-curvature@proof-7prooftheorem 13.41: Holonomy equals the enclosed curvature; local Gauss–Bonnet13.41equation 13.111: eq:mfd-egregium-liouville13.111proposition 13.40: Parallel transport is an isometry of the tangent plane13.40theorem 7.131: Green7.131example 13.42: The sphere, the solid angle, and the pole13.42

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proves Holonomy equals the enclosed curvature; local Gauss–Bonnet declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2044