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	Length-minimizing Curves (part 2)- Variation (Math Curator Zanachan ) View
	Length-minimizing Curves (part 3)- Variation Field (Math Curator Zanachan ) View
	Length-minimizing curves (part 7)- All vector fields are variation fields (Math Curator Zanachan ) View
	Length-minimizing Curves (part 5)- Proof of First Variation Formula (Math Curator Zanachan ) View
	Length Minimizing Curve (part 4)- Intuition for First Variation Formula (Math Curator Zanachan ) View
	Length Minimizing Curves (part 1) - Riemannian Distance and Length (Math Curator Zanachan ) View
	Geodesics are locally length-minimizing (part 1) (Math Curator Zanachan ) View
	Shape Analysis (Lecture 3, extra content): First variation of arc length in R^n (Justin Solomon) View
	Geodesics are locally length-minimizing (part 3)-Gauss Lemma (Math Curator Zanachan ) View
	Minimizing distance to a curve (ProfessorGonzalinajec) View