欧几里得项目
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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...
作者:... Peter A. Djondjorov , Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization2016Project Euclid
摘要:The work is concerned with a special family of axially symmetric surfaces providing local extrema to the so-called Willmore functional, which assigns to each surface its total squared mean curvature. The components of the position vector of the profile curves of the regarded Will...
作者:Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Ninth International Conference on Geometry, Integrability and Quantization2008Project Euclid
摘要:The consideration of some non-standard parametric Lagrangian leads to a fictitious dynamical system which turns out to be equivalent to the Euler problem for finding out all possible shapes of the lamina. Integrating the respective differential equations one arrives at novel...

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