{"paper":{"title":"On $\\overline{\\partial }_{b}$-harmonic maps from pseudo-Hermitian manifolds to K\\\"{a}hler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Biqiang Zhao, Hui Liu, Yuxin Dong","submitted_at":"2025-04-02T07:49:49Z","abstract_excerpt":"In this paper, we consider maps from pseudo-Hermitian manifolds to K\\\"{a}hler manifolds and introduce partial energy functionals for these maps.\n  First, we obtain a foliated Lichnerowicz type result on general\n  pseudo-Hermitian manifolds, which generalizes a related result on Sasakian\n  manifolds in \\cite{SSZ2013holomorphic}. Next, we investigate critical maps of the partial\n  energy functionals, which are referred to as $\\overline{\\partial }_{b}$-harmonic maps and $\\partial _{b}$-harmonic maps. We give a foliated result\n  for both $\\overline{\\partial }_{b}$- and $\\partial _{b}$-harmonic map"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.01439","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.01439/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}