Isometry classification of cubic homogeneous 3-dimensional forms
Mathematical Physics
2010-11-25 v1 math.MP
Abstract
The problem of classification of cubic homogeneous Finslerian 3D metrics with respect to their isometries is considered. It is shown, that there are 6 different general affine types of such metrics. Algebras of isometries are presented in apparent kind together with their affine-invariant properties. Interrelation between symmetries and projective classifyings is discussed.
Cite
@article{arxiv.1011.5244,
title = {Isometry classification of cubic homogeneous 3-dimensional forms},
author = {Sergey S. Kokarev},
journal= {arXiv preprint arXiv:1011.5244},
year = {2010}
}
Comments
Talk presented at the conference Symmetry-2009 (Hungary)