A V Shchepetilov 2003 J. Phys. A: Math. Gen. 36 7361 doi:10.1088/0305-4470/36/26/310
A V Shchepetilov
Show affiliationsLet 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.
02.40.Ky Riemannian geometries
02.20.Qs General properties, structure, and representation of Lie groups
16S32 Rings of differential operators (See also 13N10, 32C38)
Issue 26 (4 July 2003)
Received 11 February 2003, in final form 9 May 2003
Published 18 June 2003
A V Shchepetilov 2003 J. Phys. A: Math. Gen. 36 7361
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