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Differential Geometry of Curves and Surfaces

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An Introduction to the Geometry and Topology of Fluid Flows

Part of the book series: NATO Science Series ((NAII,volume 47))

Abstract

The goal of this article is to present the relation between some differential formulas, like the Gauss integral for a link, or the integral of the Gaussian curvature on a surface, and topological invariants like the linking number or the Euler characteristic.

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References

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Author information

Authors and Affiliations

  1. Laboratoire de Topologie, Université de Bourgogne, 9 Avenue Alain Savary, B.P. 47 870, 21078, Dijon Cedex, France

    Rémi Langevin

Authors
  1. Rémi Langevin
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Editor information

Editors and Affiliations

  1. Mathematics Department, University College London, London, UK

    Renzo L. Ricca

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© 2001 Springer Science+Business Media Dordrecht

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Langevin, R. (2001). Differential Geometry of Curves and Surfaces. In: Ricca, R.L. (eds) An Introduction to the Geometry and Topology of Fluid Flows. NATO Science Series, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0446-6_2

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  • DOI: https://doi.org/10.1007/978-94-010-0446-6_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0207-6

  • Online ISBN: 978-94-010-0446-6

  • eBook Packages: Springer Book Archive

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