dorsal/arxiv
View SchemaThe Minimal Polynomial of a Riemannian C_0-Space
| Authors | Tillmann Jentsch |
|---|---|
| Categories | |
| ArXiv ID | 2601.08827vv1 |
| URL | https://arxiv.org/abs/2601.08827 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We construct, at every point of a Riemannian C_0-space, a polynomial in one variable whose coefficients are polynomial functions on the tangent space. For a homogeneous Riemannian C_0-space (for instance, a G.O. space) these pointwise-defined polynomials glue 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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"abstract": "We construct, at every point of a Riemannian C_0-space, a polynomial in one variable whose coefficients are polynomial functions on the tangent space. For a homogeneous Riemannian C_0-space (for instance, a G.O. space) these pointwise-defined polynomials glue 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.",
"arxiv_id": "2601.08827",
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"title": "The Minimal Polynomial of a Riemannian C_0-Space",
"url": "https://arxiv.org/abs/2601.08827",
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