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Submanifolds and quotient manifolds in noncommutative geometry

1995/07/26 by Thierry Masson
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Geometric Analysis and Curvature Flows #dg-ga #math.DG #math.QA #q-alg

paper · pdf · doi:10.1063/1.531522

20 pages, AMSLaTeX

arxiv created 1995/07/26 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define and study noncommutative generalizations of submanifolds and quotient manifolds using the derivation-based differential calculus introduced by M. Dubois-Violette and P. Michor. We give examples to illustrate these definitions.

Citations