TY - JOUR

T1 - Coordinate-free recording of helmholtz planes

AU - Mikhailichenko, G. G.

AU - Simonov, A. A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

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.

KW - Geometry of maximum mobility

KW - Group of transformations

KW - Helmholtz planes

KW - Metric function

KW - Two-dimensional geometries

UR - http://www.scopus.com/inward/record.url?scp=85077855521&partnerID=8YFLogxK

U2 - 10.24411/2500-0101-2019-14404

DO - 10.24411/2500-0101-2019-14404

M3 - Article

AN - SCOPUS:85077855521

VL - 4

SP - 412

EP - 418

JO - Chelyabinsk Physical and Mathematical Journal

JF - Chelyabinsk Physical and Mathematical Journal

SN - 2500-0101

IS - 4

ER -