On differential invariants of parabolic surfaces

DOI10.4064/dm816-8-2020zbMath1467.53015arXiv1908.07867OpenAlexW3137614223MaRDI QIDQ4993884

Joël Merker, Zhangchi Chen

Publication date: 11 June 2021

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07867

zbMATH Keywords

recurrence relationsjet spacesHessian matriceshomogeneous modelsaffine and special affine transformationsclassification of developable surfacescommutators of invariant differentialsfoliated G-actionsprolongations of diffeomorphisms

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Normal forms on manifolds (58K50) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Group actions on affine varieties (14R20) Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55) Local Lie groups (22E05) Symmetries, invariants, etc. in context of PDEs (35B06) Computational methods for problems pertaining to differential geometry (53-08)

Related Items (7)

Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $ ⋮ Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ Normal forms for rigid \(\mathfrak{C}_{2,1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\) ⋮ Invariants of surfaces in three-dimensional affine geometry ⋮ Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects ⋮ On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds

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