Founding an invariant theory of the contact transformations.

DOI10.1007/BF01443411zbMath06.0092.01OpenAlexW1966346184MaRDI QIDQ1558591

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Publication date: 1875

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156675

zbMATH Keywords

groupssubgroupsinvariant theoryinfinitesimalcanonical formproofhomogeneousequationssubstitutioncomplete solutioninvariant relationsfirst-order PDEContact transformationsinquiries published in some paperstreatise in three sections

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Three-body problems (70F07) Convergence and divergence of series and sequences of functions (40A30) Pfaffian systems (58A17) Nonlinear first-order PDEs (35F20) Actions of groups on commutative rings; invariant theory (13A50) Contact manifolds (general theory) (53D10) Structure of proofs (03F07) Implicit function theorems, Jacobians, transformations with several variables (26B10) Linear transformations, semilinear transformations (15A04) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differential invariants (local theory), geometric objects (53A55) General theory for finite permutation groups (20B05)

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