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I am taking up a grad level course on Differential Geometry. Can any one please tell me the immediate applications of Differential Geometry in Robotics ?

Thanks

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    hi. I think you meant to ask this in `Mathematics` forum? This forum is `Mathematica` (With that extra `a` at the end).2012-11-12
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    I don't know, but the "state" of a robot is probably described by several parameters -- various angles and such, concatenated into a single vector -- and all possible states form a manifold. As the robot moves, its state vector follows a path along this manifold.2012-11-12
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    I know little about robotics, but in certain cases people do model the motions of robotics in the language of differential geometry. It makes sense because physical constraints (e.g., the length of an arm is fixed) can result in a background geometry different from Euclidean spaces. See http://www.nature.com/articles/srep13603, for example.2016-07-03

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