{"paper":{"title":"A Clifford Bundle Approach to the Differential Geometry of Branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Samuel Wainer, Waldyr A. Rodrigues Jr.","submitted_at":"2013-09-16T15:34:25Z","abstract_excerpt":"The Clifford bundle formalism (CBF) of differential forms and the theory of extensors acting on $\\mathcal{C\\ell}(M,g)$ is first used for a fomulation of the intrinsic geometry of a differential manifold $M$ equipped with a metric field $\\boldsymbol{g}$ of signature $(p,q)$ and an arbitrary metric compatible connection $\\nabla$ introducing the torsion (2-1)-extensor field $\\tau$, the curvature $(2-2)$ extensor field $\\mathfrak{R}$ and (once fixing a gauge) the connection $(1-2)$-extensor $\\omega$ and the Ricci operator $\\boldsymbol{\\partial}\\wedge\\boldsymbol{\\partial}$ (where $\\boldsymbol{\\part"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4007","kind":"arxiv","version":7},"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"}