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Mappings of Ruled Surfaces in Simply Isotropic Space I 3 1 that Preserve the Generators

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Abstract.

 In this paper we study some mappings of skew ruled surfaces in simply isotropic space which preserve the generators. We study isometries, conformal mappings and mappings which preserve the area. Furthermore, we study mappings of surfaces in I 3 1 which preserve the asymptotic lines.

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Authors and Affiliations

  1. University of Zagreb, Zagreb, Croatia, , , , , , HR

    Željka Milin Šipuš

  2. University of Zagreb, Varaždin, Croatia, , , , , , HR

    Blaženka Divjak

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  1. Željka Milin Šipuš
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  2. Blaženka Divjak
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Received December 18, 2001; in revised form July 12, 2002 Published online April 4, 2003

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Šipuš, Ž., Divjak, B. Mappings of Ruled Surfaces in Simply Isotropic Space I 3 1 that Preserve the Generators. Monatsh. Math. 139, 235–245 (2003). https://doi.org/10.1007/s00605-002-0526-8

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  • DOI: https://doi.org/10.1007/s00605-002-0526-8

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