What are the conditions for torsion to be zero other than having a plane curve? The only thing I can thing of is an equation that have the torsion that cancels out each other.
Conditions that torsion is zero in a space curve
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differential-geometry
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0If the torsion is identically zero, the curve must be planar. Do you want a condition for torsion to be zero at a particular point (but not necessarily elsewhere)? – 2010-10-18
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0No, it should be zero through out. Any ideas or it is just not possible? – 2010-10-18
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0I know for certain that it's not possible for any regular curve. – 2010-10-18
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2Notice that torsion is usually only defined for curves at points where curvature does not vanish, so to make sense of this some assumption in that direction is needed. – 2010-10-18