Abstract
The metrics of most geometries of maximum mobility can be written in the coordinateless form. In this paper, we consider some Helmholtz planes, which are geometries of maximum local mobility, whose coordinateless recording was unknown. Implicitly defined functions are found to construct such a record.
Original language | English |
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Pages (from-to) | 412-418 |
Number of pages | 7 |
Journal | Chelyabinsk Physical and Mathematical Journal |
Volume | 4 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- Geometry of maximum mobility
- Group of transformations
- Helmholtz planes
- Metric function
- Two-dimensional geometries