{"paper":{"title":"Regular Submanifolds in the Conformal Space ${\\mathbb Q}^n_p$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Changxiong Nie","submitted_at":"2011-08-15T06:40:13Z","abstract_excerpt":"There is a Lorenzian group acting on the conformal space ${\\mathbb Q}^n_p$. We study the regular submanifolds in the conformal space ${\\mathbb Q}^n_p$ and construct general submanifold theory in the conformal space ${\\mathbb Q}^n_p$. Finally we give the first variation formula of the Willmore volume functional of submanifolds in the conformal space ${\\mathbb Q}^n_p$ and classify the conformal isotropic submanifolds in the conformal space ${\\mathbb Q}^n_p$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2942","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"}