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arXiv · 2112.00906

Rotational surfaces in a $3$-dimensional normed space

Makoto Sakaki
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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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Makoto Sakaki. 2021-12-02. Rotational surfaces in a $3$-dimensional normed space. https://arxiv.org/abs/2112.00906

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