Rotational surfaces in a $3$-dimensional normed space
Differential Geometry
2021-12-03 v1 Metric Geometry
Abstract
We study rotational surfaces with constant Minkowski Gaussian curvature and rotational surfaces with constant Minkowski mean curvature in a -dimensional normed space with rotationally symmetric norm. We have a generalization of the catenoid, pseudo-sphere and Delaunay surfaces.
Cite
@article{arxiv.2112.00906,
title = {Rotational surfaces in a $3$-dimensional normed space},
author = {Makoto Sakaki},
journal= {arXiv preprint arXiv:2112.00906},
year = {2021}
}
Comments
15 pages