Coordinate-free recording of helmholtz planes

G. G. Mikhailichenko; A. A. Simonov

doi:10.24411/2500-0101-2019-14404

Coordinate-free recording of helmholtz planes

G. G. Mikhailichenko, A. A. Simonov

General Physics Section

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	412-418
Number of pages	7
Journal	Chelyabinsk Physical and Mathematical Journal
Volume	4
Issue number	4
DOIs	https://doi.org/10.24411/2500-0101-2019-14404
Publication status	Published - 1 Jan 2019

Keywords

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

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10.24411/2500-0101-2019-14404

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title = "Coordinate-free recording of helmholtz planes",

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.",

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AB - 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.

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KW - Group of transformations

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KW - Two-dimensional geometries

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JO - Chelyabinsk Physical and Mathematical Journal

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SN - 2500-0101

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Coordinate-free recording of helmholtz planes

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