HELICOIDAL SURFACES WITH CONSTANT MEAN CURVATURE

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概要

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• We describe the space ∑\nolimits_H of all surfaces in {R^3} that have constant mean curvature H \ne 0 and are invariant by helicoidal motions, with a fixed axis, of {R^3}. Similar to the case ∑\nolimits_0 of minimal surfaces ∑\nolimits_H behaves roughly like a circular cylinder where a certain generator corresponds to the rotation surfaces and each parallel corresponds to a periodic family of isometric helicoidal surfaces.

• 東北大学大学院理学研究科数学専攻の論文

著者

• CARMO MANFREDO

  INSTITUTO DE MATEMÁTICA PURA E APLICADA (IMPA) ESTRADA DONA CASTORINA

• DAJCZER MARCOS

  INSTITUTO DE MATEMÁTICA PURA E APLICADA (IMPA) ESTRADA DONA CASTORINA

関連論文

• HELICOIDAL SURFACES WITH CONSTANT MEAN CURVATURE

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