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W-Surfaces Having Some Properties

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Abstract

We investigate some characteristic properties of specific Weingarten surfaces in the Euclidean space E3 using the nets of the lines of curvature resp. the asymptotic lines on both central surfaces of them.

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References

  1. Eisenhart, L.P.: A treatise on the differential geometry of curves an surfaces, New York, Dover 1909.

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  2. Haack, W.: Elementare Differentialgeometrie, Basel und Stuttgart, Birkhäuser 1955.

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Authors and Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece

    S. Stamatakis

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  1. S. Stamatakis
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Correspondence to S. Stamatakis.

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Stamatakis, S. W-Surfaces Having Some Properties. Results. Math. 42, 359–364 (2002). https://doi.org/10.1007/BF03322861

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  • DOI: https://doi.org/10.1007/BF03322861

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