Normal forms for submanifolds under group actions

DOI10.1007/978-3-030-01376-9_1zbMath1426.22014OpenAlexW2899045177MaRDI QIDQ2313092

Peter J. Olver

Publication date: 18 July 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-01376-9_1

zbMATH Keywords

Lie groupnormal formsubmanifoldmoving framedifferential invariant

Mathematics Subject Classification ID

Differential invariants (local theory), geometric objects (53A55) General theory of group and pseudogroup actions (22F05)

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Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $ ⋮ Projective invariants of images ⋮ Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces ⋮ Normal forms of second-order ordinary differential equations \(y_{xx}=J(x,y,y_x)\) under fibre-preserving maps ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ Convergent normal form for five dimensional totally nondegenerate CR manifolds in \(\mathbb{C}^4\) ⋮ On differential invariants of parabolic surfaces

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