Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)
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🧮 math.OC
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elasticaeeulergeodesicsrelationsub-riemanniananalyzingcasecoincide
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In this note we describe a relation between Euler's elasticae and sub-Riemannian geodesics on SE(2). Analyzing the Hamiltonian system of Pontryagin maximum principle we show that these two curves coincide only in the case when they are segments of a straight line.
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