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作者:Vladimir I. Pulov , Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid
摘要:We consider a class of linear Weingarten surfaces of revolution whose principal curvatures, meridional $k_{\mu}$ and parallel $k_{\pi}$, satisfy the relation $k_{\mu}=(n+1)k_{\pi}$, $n=0,\,1,\,2,\ldots\, .$ The first two members of this class of surfaces are the sphere $(n=0)$ an...
作者:Vladimir I. Pulov , Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization2017Project Euclid
摘要:The plate-ball problem concerns the shortest trajectories traced by a rolling sphere on a horizontal plane between the prescribed initial and final states meaning the positions and orientations of the sphere. Here we present an explicit parametric representation of these trajecto...

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