{"paper":{"title":"On the Solvability of the Transvection group of Extrinsic Symplectic Symmetric Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Lorenz J. Schwachh\\\"ofer","submitted_at":"2010-11-24T11:22:47Z","abstract_excerpt":"Let $M$ be a symplectic symmetric space, and let $\\imath : M \\to V$ be an extrinsic symplectic symmetric immersion, i.e., $(V, \\Omega)$ is a symplectic vector space and $\\imath$ is an injective symplectic immersion such that for each point $p \\in M$, the geodesic symmetry in $p$ is compatible with the reflection in the affine normal space at $\\imath(p)$. We show that the existence of such an immersion implies that the transvection group of $M$ is solvable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5340","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}