Conformal differential invariants

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• 作者：Boris Kruglikov ^{boris.kruglikov@uit.no}
• 关键词：Differential invariants ; Invariant derivations ; Conformal metric structure ; Hilbert polynomial ; Poincar&eacute ; function
• 刊名：Journal of Geometry and Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：113
• 期：Complete
• 页码：170-175
• 全文大小：399 K
• 卷排序：113

文摘

We compute the Hilbert polynomial and the Poincaré 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.