1995/05/31 by Pei-Ming Ho · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #advanced mathematical theories #hep-th #math.QA #q-alg
paper · pdf · doi:10.1142/s0217751x97000694
published as Int.J.Mod.Phys. A12 (1997) 923-943 · revised version
arxiv created 1996/03/08 · openalex publication_date 1997/02/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.