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On the number of singularities, zero curvature points and vertices of a simple convex space curve

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Abstract

We prove a generalization of the 4 vertex theorem forC 3 closed simple convex space curves including singular and zero curvature points.

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References

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Authors and Affiliations

  1. Dept. de Geometría y Topología Facultad de Matemáticas, Universidad de Valencia, 46100, Burjasot, Valencia, Spain

    M. C. Romero Fuster

  2. Department of Mathematics, Moscow Machine Institute, Mosstankin, Vadkovski per. 3a, 101472, Moscow, Russia

    V. D. Sedykh

Authors
  1. M. C. Romero Fuster
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  2. V. D. Sedykh
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Additional information

Work partially supported by CNPq. The second author is also grateful to the Universidade Federal de Viçosa (Brasil) for hospitality during the production of this work.

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Fuster, M.C.R., Sedykh, V.D. On the number of singularities, zero curvature points and vertices of a simple convex space curve. J Geom 52, 168–172 (1995). https://doi.org/10.1007/BF01406837

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  • DOI: https://doi.org/10.1007/BF01406837

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