The Minimal Polynomial of a Riemannian C_0-Space
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915944177074176 |
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| author | Jentsch, Tillmann |
| author_facet | Jentsch, Tillmann |
| contents | 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 homogeneous Riemannian C_0-space (for instance, a G.O. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08827 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Minimal Polynomial of a Riemannian C_0-Space Jentsch, Tillmann Differential Geometry 2020 Primary 53C30, Secondary 53B20, 53C22, 13A15 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 homogeneous Riemannian C_0-space (for instance, a G.O. 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. |
| title | The Minimal Polynomial of a Riemannian C_0-Space |
| topic | Differential Geometry 2020 Primary 53C30, Secondary 53B20, 53C22, 13A15 |
| url | https://arxiv.org/abs/2601.08827 |