On the Gauss map of embedded minimal tubes

Authors

  • I.M. Reshetnikova
  • V.G. Tkachev

DOI:

https://doi.org/10.1285/i15900932v19n1p7

Keywords:

Minimal tubes, Gaussian map, Total gaussian curvature, Flow vector

Abstract

The Gaussian image of the minimal tubes of arbitrary dimension is studied. If the angle between the flow-vector of such a surface M and its axe is equal to $?(M) > 0$ then the diameter of the Gauss image of M is at least $2?(M)$. As a consequence we show that the length of a two dimensional minimal tube M can be estimated by the angle $?(M)$ and the total Gaussian curvature of M.

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Published

01-01-1999

Issue

Volume 19, Issue 1 (1999)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode