Planar p-Elasticae and Rotational Linear Weingarten Surfaces
作者: Álvaro Pámpano
论文集英文名称: Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization
来源数据库: Project Euclid
DOI: 10.7546/giq-20-2019-227-238
原始语种摘要: We variationally characterize the profile curves of rotational linear Weingarten surfaces as planar p-elastic curves. Moreover, by evolving these planar p-elasticae under the binormal flow with prescribed velocity, we describe a procedure to construct all rotational linear Weingarten surfaces, locally. Finally, we apply our findings to two well-known family of surfaces.
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  • binormal 副法线
  • construct 建设
  • rotational 转动
  • apply 应用
  • procedure 手续
  • describe 叙述
  • profile 纵断图
  • characterize 成为...的特性
  • locally 局部地
  • prescribed 法定