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  • 标题:Hypersurface Constrained Elasticae in Lorentzian Space Forms
  • 本地全文:下载
  • 作者:Óscar J. Garay ; Álvaro Pámpano ; Changhwa Woo
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/458178
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We study geodesics in hypersurfaces of a Lorentzian space form , which are critical curves of the -bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live fully immersed in a totally geodesic and that they must be of three different types. Finally, we consider the classification of surfaces in the Minkowski 3-space foliated by critical geodesics.
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