2014/01/13 by Masoud Sabzevari, Sabzevari, Masoud, Joël Merker +2
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.DG
paper · pdf · doi:10.48550/arxiv.1401.2963
35 pages
arxiv created 2014/01/13 · openalex publication_date 2014/01/13 · arxiv updated 2014/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develope in great computational details the classical Cartan equivalence problem for Levi-nondegenerate C6-smooth real hypersurfaces M3 in C2, performing all calculations effectively in terms of a (local) graphing function φ. In particular, we present explicitly the unique (complex) essential invariant J of the problem. Its expansion in terms of the 3-variables function φincorporates millions of differential monomials, while, when φis assumed to depend only on 2 variables (rigid case), J writes out in two lines (7 monomials).