{"paper":{"title":"On certain K\\\"ahler quotients of quaternionic K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"H. Triendl, J. Louis, P. Smyth, V. Cort\\'es","submitted_at":"2011-11-02T22:10:23Z","abstract_excerpt":"We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic K\\\"ahler manifold M which preserves a submanifold N\\subset M, the quotient M'=N/A has a natural K\\\"ahler structure. We verify that the assumptions on the group action and on the submanifold N\\subset M are satisfied for a large class of examples obtained from the supergravity c-map. In particular, we find that all quaternionic K\\\"ahler manifolds M in the image of the c-map admit an integrable complex structure compatible with the quaternionic structure, such that N\\subset M is a complex subman"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0679","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"}