Published July 4, 2003 | Version v1
Journal article

Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces

  • 1. Department of Physics, Moscow State University, 119992 Moscow (Russian Federation)

Description

Let G be the identity component of the isometry group for an arbitrary curved two-point homogeneous space M. We consider algebras of G-invariant differential operators on bundles of unit spheres over M. The generators of this algebra and the corresponding relations for them are found. The connection of these generators with the two-body problem on two-point homogeneous spaces is discussed

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/7361/a32610.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
26
Journal Page Range
p. 7361-7396
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35000525
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; GROUP THEORY; LIE GROUPS; MATHEMATICAL MANIFOLDS; RIEMANN SPACE
Descriptors DEC
MATHEMATICAL SPACE; MATHEMATICS; SPACE; SYMMETRY GROUPS