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arXiv · 2601.08827

The Minimal Polynomial of a Riemannian C_0-Space

Tillmann Jentsch
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Abstract

We construct, at each point of a Riemannian C_0-space, a polynomial in one variable whose coefficients are polynomial functions on the tangent space. For a real-analytic Riemannian C_0-space these pointwise-defined polynomials glue together to a global polynomial whose coefficients are Killing tensors invariant under the full isometry group. Moreover, the degree of this polynomial provides an upper bound for the Singer invariant of the space.

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Tillmann Jentsch. 2026-01-13. The Minimal Polynomial of a Riemannian C_0-Space. https://arxiv.org/abs/2601.08827

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