Differential invariants of self-dual conformal structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:113

Article

Kruglikov, Boris¹  Schneider, Eivind¹ 

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

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

DOI  :  10.1016/j.geomphys.2016.05.017

来源: Elsevier

【 摘 要 】

We compute the quotient of the self-duality equation for conformal metrics by the action of the diffeomorphism group. We also determine Hilbert polynomial, counting the number of independent scalar differential invariants depending on the jet-order, and the corresponding Poincare function. We describe the field of rational differential invariants separating generic orbits of the diffeomorphism pseudogroup action, resolving the local recognition problem for self-dual conformal structures. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free