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Rotational surfaces in a 3-dimensional normed space

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Abstract

We study rotational surfaces with constant Minkowski Gaussian curvature and rotational surfaces with constant Minkowski mean curvature in a 3-dimensional normed space with rotationally symmetric norm. We have a generalization of the catenoid, pseudo-sphere and Delaunay surfaces.

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Authors and Affiliations

  1. Graduate School of Science and Technology, Hirosaki University, Hirosaki, 036-8561, Japan

    Makoto Sakaki

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  1. Makoto Sakaki
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Correspondence to Makoto Sakaki.

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Sakaki, M. Rotational surfaces in a 3-dimensional normed space. Beitr Algebra Geom 65, 23–41 (2024). https://doi.org/10.1007/s13366-022-00674-8

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  • DOI: https://doi.org/10.1007/s13366-022-00674-8

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