proof ch:11-manifolds-tensors-curvature@proof-12

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:2941

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proof : ch:11-manifolds-tensors-curvature@proof-12prooftheorem 13.63: Constant rank theorem13.63corollary A.292: Inverse function theoremA.292definition 7.98: Functions of class C^17.98theorem A.286: Implicit function theoremA.286corollary 13.64: The image of a constant-rank map, locally13.64lemma A.533: The orbit map has constant rank dA.533lemma A.538: Submersions have smooth local sectionsA.538theorem 13.67: Quotient manifold theorem13.67

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