Positive quadratic differential forms: Linearization, finite determinacy and versal unfolding
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Publication:1364298
DOI10.5802/afst.844zbMath0882.58007OpenAlexW2335268469MaRDI QIDQ1364298
Publication date: 5 March 1998
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AFST_1996_6_5_4_661_0
Differential forms in global analysis (58A10) Complex singularities (32S99) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)
Related Items (6)
Rank-1 codimension one singularities of positive quadratic differential forms ⋮ Dupin indicatrices and families of curve congruences ⋮ Versal unfoldings for rank-2 singularities of positive quadratic differential forms ⋮ Binary differential equations with symmetries ⋮ Bifurcations of simple umbilical points defined by vector fields normal to a surface immersed in \(\mathbb{R}^4\) ⋮ Principal configurations around umbilics of spacelike surfaces in null hypersurfaces of \(\mathbb{R}_1^4\)
Cites Work
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- Singularities of vector fields
- On G. Bol's proof of Carathéodory's conjecture
- Positive Quadratic Differential Forms and Foliations with Singularities on Surfaces
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- A Sharp Geometric Estimate for the Index of an Umbilic on a Smooth Surface
- Invariant manifolds
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