{"paper":{"title":"On the Description of the Riemannian Geometry in the Presence of Conical Defects","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D.V.Fursaev, S.N.Solodukhin","submitted_at":"1995-01-27T17:33:53Z","abstract_excerpt":"A consistent approach to the description of integral coordinate invariant functionals of the metric on manifolds ${\\cal M}_{\\alpha}$ with conical defects (or singularities) of the topology $C_{\\alpha}\\times\\Sigma$ is developed. According to the proposed prescription ${\\cal M}_{\\alpha}$ are considered as limits of the converging sequences of smooth spaces. This enables one to give a strict mathematical meaning to a number of invariant integral quantities on ${\\cal M}_{\\alpha}$ and make use of them in applications. In particular, an explicit representation for the Euler numbers and Hirtzebruch s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9501127","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"}