Conformal differential invariants

JOURNAL OF GEOMETRY AND PHYSICS

卷:113

Article

Kruglikov, Boris¹ 

[1] Univ Tromso, NT Fac, Inst Math & Stat, N-9037 Tromso, Norway

关键词: Differential invariants;    Invariant derivations;    Conformal metric structure;    Hilbert polynomial;    Poincare function;   

DOI  :  10.1016/j.geomphys.2016.06.008

来源: Elsevier

【 摘 要 】

We compute the Hilbert polynomial and the Poincare function counting the number of fixed jet-order differential invariants of conformal metric structures modulo local diffeomorphisms, and we describe the field of rational differential invariants separating generic orbits of the diffeomorphism pseudogroup action. This resolves the local recognition problem for conformal structures. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free