On Characterizations of Some General $(\alpha, \beta)$ Norms in a Minkowski Space
Differential Geometry
2015-05-05 v1
Abstract
General norms are an important class of Minkowski norms which contains the original norms. In this note, by studying the behavior of the Darboux curves of the indicatrix, we give a characterization of 3-dimensional general norms. By studying the isoperimetric properties of the indicatrix, as well as the isoperimetric inequalities in a Minkowski space, we give some global geometric quantities which characterizes Randers norms of arbitrary dimensions.
Keywords
Cite
@article{arxiv.1505.00554,
title = {On Characterizations of Some General $(\alpha, \beta)$ Norms in a Minkowski Space},
author = {Yan Li},
journal= {arXiv preprint arXiv:1505.00554},
year = {2015}
}