Isometry classification of cubic homogeneous 3-dimensional forms

Details Isometry classification of cubic homogeneous 3-dimensional forms Isometry classification of cubic homogeneous 3-dimensional forms

2010-11-23

arxiv.org/abs/1011.5244v1

Proceedings of Symmetry Festival 2009, v20, Numbers 1-4, pages 371-392 (2009)

Physics

Mathematical Physics

Talk presented at the conference Symmetry-2009 (Hungary)

Scientific paper

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.

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