Differential invariants of surfaces

DOI10.1016/j.difgeo.2008.06.020zbMath1164.53002OpenAlexW2044133637WikidataQ115357432 ScholiaQ115357432MaRDI QIDQ1012338

Peter J. Olver

Publication date: 16 April 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.06.020

zbMATH Keywords

mean curvatureGauss curvaturemoving framedifferential invariantPick invariantEuclidean groupequi-affine group

Mathematics Subject Classification ID

Jets in global analysis (58A20) Surfaces in Euclidean and related spaces (53A05) Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55)

Related Items (11)

Affine differential invariants of functions on the plane ⋮ Joint differential invariants of binary and ternary forms ⋮ Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in \(\mathbb{C}^2\) ⋮ On the cohomology of the invariant Euler--Lagrange complex ⋮ Unnamed Item ⋮ Moving frames and differential invariants in centro-affine geometry ⋮ Variational problems for Fefferman hypersurface measure and volume-preserving CR invariants ⋮ Invariants of surfaces in three-dimensional affine geometry ⋮ Differential invariant algebras of Lie pseudo-groups ⋮ Unnamed Item ⋮ On differential invariants of parabolic surfaces

Uses Software

• AIDA

Cites Work

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• Generating differential invariants
• On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces
• Pick invariant and affine Gauss-Kronecker curvature
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Invariant Euler--Lagrange equations and the invariant variational bicomplex
• The Pick invariant in equiaffine differential geometry
• Differential invariants of conformal and projective surfaces
• Computer Algebra and Geometric Algebra with Applications
• Joint invariant signatures

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