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On the integral invariants of a closed ruled surface

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Summary

In this paper, it is shown that the dual integral invariant of a closed ruled surface, the dual angle of pitch, corresponds to the dual spherical surface area described by the dual spherical indicatrix of the closed ruled surface. So, new geometric interpretations of the real angle of pitch and the real pitch of a closed ruled surface, and some results are given.

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  1. Department of Mathematics, Karadeniz Technical University, 61080, Trabzon, Turkey

    Osman Gürsoy

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  1. Osman Gürsoy
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Gürsoy, O. On the integral invariants of a closed ruled surface. J Geom 39, 80–91 (1990). https://doi.org/10.1007/BF01222141

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  • DOI: https://doi.org/10.1007/BF01222141

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