GEOMETRICALLY CONSTRAINED CURVES AND THE CALCULUS OF VARIATIONS
A physical wire in a simply connected 3-dimensional complete Riemannian manifold M with constant sectional curvature resists bending and twisting. If we clamp the ends of a wire in some position then it will assume the shape of a certain curve and twist along that curve so as to minimize its total e...
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Format: | Others |
Language: | English |
Published: |
2007
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Online Access: | http://hdl.handle.net/1911/15993 |