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

School of Mathematics

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

11 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

Keywords

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

Publisher link

10.1090/S0002-9947-1978-0496814-5

Find It

Find It at U of M Libraries

Cite this

@article{127de6b545004784917dd8cfc667a36b,

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",

month = aug,

doi = "10.1090/S0002-9947-1978-0496814-5",

language = "English (US)",

volume = "242",

pages = "355--376",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

}

TY - JOUR

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

UR - https://www.scopus.com/pages/publications/84968484641

UR - https://www.scopus.com/pages/publications/84968484641#tab=citedBy

U2 - 10.1090/S0002-9947-1978-0496814-5

DO - 10.1090/S0002-9947-1978-0496814-5

M3 - Article

AN - SCOPUS:84968484641

SN - 0002-9947

VL - 242

SP - 355

EP - 376

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

R-separable coordinates for three-dimensional complex riemannian spaces

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this