On equivalence of third order linear differential operators on two-dimensional manifolds

DOI10.1016/j.geomphys.2019.103507zbMath1428.58027arXiv1904.08664OpenAlexW2938708128WikidataQ115352801 ScholiaQ115352801MaRDI QIDQ2331524

Valerij A. Yumaguzhin, Valentin V. Lychagin

Publication date: 29 October 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08664

zbMATH Keywords

differential invariantjet bundleequivalence problem3rd order partial differential operator

Mathematics Subject Classification ID

Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Connections (general theory) (53C05) Linear higher-order PDEs (35G05) Differential invariants (local theory), geometric objects (53A55)

Related Items

On natural invariants and equivalence of differential operators ⋮ Natural differential invariants and equivalence of third order nonlinear differential operators ⋮ Differential Invariants in Algebra ⋮ On invariants and equivalence of differential operators under Lie pseudogroups actions ⋮ Riemannian exponential and quantization ⋮ On geometrical structures, associated with linear differential operators of the 1st order ⋮ Invariants of forth order linear differential operators ⋮ On structure of linear differential operators, acting on line bundles

Cites Work

• Invariant tensorfields and the canonical connection of a 3-web
• Quantum mechanics on manifolds
• Classification of the second order linear differential operators and differential equations
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