R-separable coordinates for three-dimensional complex riemannian spaces

C. P. Boyer; E. G. Kalnins; Willard Miller

doi:10.1090/S0002-9947-1978-0496814-5

R-separable coordinates for three-dimensional complex riemannian spaces

C. P. Boyer, E. G. Kalnins, Willard Miller

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We classify all R-separable coordinate systems for the equations (Formula Presented) with special emphasis on nonorthogonal coordinates, and give a group-theoretic interpretation of the results. We show that for flat space the two equations separate in exactly the same coordinate systems.

Original language	English (US)
Pages (from-to)	355-376
Number of pages	22
Journal	Transactions of the American Mathematical Society
Volume	242
DOIs	https://doi.org/10.1090/S0002-9947-1978-0496814-5
State	Published - Aug 1978
Externally published	Yes

Keywords

Conformal symmetry
Flat space
Hamilton-Jacobi equation
Laplace equation
Separation of variables

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title = "R-separable coordinates for three-dimensional complex riemannian spaces",

abstract = "We classify all R-separable coordinate systems for the equations (Formula Presented) with special emphasis on nonorthogonal coordinates, and give a group-theoretic interpretation of the results. We show that for flat space the two equations separate in exactly the same coordinate systems.",

keywords = "Conformal symmetry, Flat space, Hamilton-Jacobi equation, Laplace equation, Separation of variables",

author = "Boyer, {C. P.} and Kalnins, {E. G.} and Willard Miller",

year = "1978",

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language = "English (US)",

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T1 - R-separable coordinates for three-dimensional complex riemannian spaces

AU - Boyer, C. P.

AU - Kalnins, E. G.

AU - Miller, Willard

PY - 1978/8

Y1 - 1978/8

N2 - We classify all R-separable coordinate systems for the equations (Formula Presented) with special emphasis on nonorthogonal coordinates, and give a group-theoretic interpretation of the results. We show that for flat space the two equations separate in exactly the same coordinate systems.

AB - We classify all R-separable coordinate systems for the equations (Formula Presented) with special emphasis on nonorthogonal coordinates, and give a group-theoretic interpretation of the results. We show that for flat space the two equations separate in exactly the same coordinate systems.

KW - Conformal symmetry

KW - Flat space

KW - Hamilton-Jacobi equation

KW - Laplace equation

KW - Separation of variables

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JO - Transactions of the American Mathematical Society

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ER -

R-separable coordinates for three-dimensional complex riemannian spaces

Abstract

Keywords

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