Lines of principal curvature around umbilics and Whitney umbrellas

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概要

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• In this paper is studied the configuration of lines of curvature near a Whitney umbrella which is the unique stable singularity for maps of surfaces into $R^3$. The pattern of such configuration is established and characterized in terms of the 3-jet of the map. The result is used to establish an expression for the Euler-Poincare characteristic in terms of the number of umbilics and umbrellas.

• 東北大学の論文

著者

• Gutierrez Carlos

  Instituto De Matematica Pura E Aplicada And Icmc-universidade De Sao Paulo

• Garcia Ronaldo

  Universidade Federal de Goias, Instituto de Matematica e Estatistica

• Sotomayor Jorge

  Universidade de Sao Paulo, Departamento de Matematica Aplicada

• Garcia Ronaldo

  Universidade Federal De Goias Instituto De Matematica E Estatistica

• Sotomayor Jorge

  Universidade De Sao Paulo Departamento De Matematica Aplicada

関連論文

• Lines of principal curvature around umbilics and Whitney umbrellas

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