Differential invariants and symmetry: Riemannian metrics and beyond

DOI10.1134/S1995080215030087zbMath1335.58014arXiv1502.02812WikidataQ115247390 ScholiaQ115247390MaRDI QIDQ901826

Boris S. Kruglikov

Publication date: 6 January 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02812

zbMATH Keywords

Killing fieldsdifferential invariantsinvariant derivationsRiemannian and pseudo-Riemannian metrics

Mathematics Subject Classification ID

Jets in global analysis (58A20) Pseudogroups and differentiable groupoids (58H05) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Conformal differential invariants ⋮ Differential invariants of self-dual conformal structures

Cites Work

• Symmetries of filtered structures via filtered Lie equations
• Invariant characterization of Liouville metrics and polynomial integrals
• Involution. The formal theory of differential equations and its applications in computer algebra
• Geometric structures on filtered manifolds
• Pseudo-Riemannian VSI spaces II
• Curvature invariants, Killing vector fields, connections and cohomogeneity
• Curvature invariants, differential operators and local homogeneity
• The number of functionally independent invariants of a pseudo-Riemannian metric
• A metric with no symmetries or invariants
• Infinitesimally homogeneous spaces
• Lie Equations, Vol. I
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