An Embedding Theorem for tractor bundles, and an application in conformal pseudo-Riemannian geometry
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912643750559744 |
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| author | Melnick, Karin Neusser, Katharina |
| author_facet | Melnick, Karin Neusser, Katharina |
| contents | We provide an extension of the Gromov--Zimmer Embedding Theorem for Cartan geometries of [3] to tractor bundles carrying any invariant connection, including tractor connections and prolongation connections of first BGG operators for parabolic geometries. As an application, we prove a rigidity result for conformal actions of special pseudo-unitary groups on closed, simply connected, analytic pseudo-Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14665 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Embedding Theorem for tractor bundles, and an application in conformal pseudo-Riemannian geometry Melnick, Karin Neusser, Katharina Differential Geometry 53C50, 53C50 We provide an extension of the Gromov--Zimmer Embedding Theorem for Cartan geometries of [3] to tractor bundles carrying any invariant connection, including tractor connections and prolongation connections of first BGG operators for parabolic geometries. As an application, we prove a rigidity result for conformal actions of special pseudo-unitary groups on closed, simply connected, analytic pseudo-Riemannian manifolds. |
| title | An Embedding Theorem for tractor bundles, and an application in conformal pseudo-Riemannian geometry |
| topic | Differential Geometry 53C50, 53C50 |
| url | https://arxiv.org/abs/2505.14665 |