LINES OF PRINCIPAL CURVATURE FOR MAPPINGS WITH WHITNEY UMBRELLA SINGULARITIES

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概要

• 論文の詳細を見る

• The pattern of lines of principal curvature near Whitney umbrella singularities of mappings of surfaces M into {R^3} are established. Sufficient conditions for the stability of the whole configuration of lines of principal curvature, under small perturbations of the mappings are given. These sufficient conditions are satisfied by a dense set in the space of {C^r}-mappings of M into {R^3}, r ≥ 4, endowed with the {C^2}-topology.

• 東北大学大学院理学研究科数学専攻の論文

著者

• SOTOMAYOR JORGE

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

• GUTIERREZ CARLOS

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

関連論文

• LINES OF PRINCIPAL CURVATURE FOR MAPPINGS WITH WHITNEY UMBRELLA SINGULARITIES

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