Coordinate-free recording of helmholtz planes

G. G. Mikhailichenko, A. A. Simonov

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)412-418
Number of pages7
JournalChelyabinsk Physical and Mathematical Journal
Volume4
Issue number4
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Geometry of maximum mobility
  • Group of transformations
  • Helmholtz planes
  • Metric function
  • Two-dimensional geometries

Fingerprint Dive into the research topics of 'Coordinate-free recording of helmholtz planes'. Together they form a unique fingerprint.

Cite this