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Closed Principal Lines of Surfaces Immersed in the Euclidean 4-Space

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Abstract

In this paper, ν-principal cycles of surfaces immersed in ∝4 are studied. In terms of geometric invariants, an integral expression for the first derivative of the Poincaré mapping associated with a ν-principal cycle is obtained.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística, Univ. Federal de Goiás, Goiânia, GO, Caixa Postal 131, CEP 74001-970, Brazil

    R. A. Garcia

  2. Departamento de Matemáticas, Facultad de Ciencias, U.N.A.M., Ciudad Universitaria, México, D. F., 04510, México

    F. Sánchez-Bringas

Authors
  1. R. A. Garcia
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  2. F. Sánchez-Bringas
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Garcia, R.A., Sánchez-Bringas, F. Closed Principal Lines of Surfaces Immersed in the Euclidean 4-Space. Journal of Dynamical and Control Systems 8, 153–166 (2002). https://doi.org/10.1023/A:1015365309326

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