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

Alexey V. Shchepetilov
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Abstract

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 two-body problem on two-point homogeneous spaces is discussed.

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BibTeXRIS

Alexey V. Shchepetilov. 2003-06-20. Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces. https://doi.org/10.1088/0305-4470%2F36%2F26%2F310

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