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A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 5 / September 2023
- Published online by Cambridge University Press:
- 07 February 2022, pp. 2177-2198
- Print publication:
- September 2023
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- Article
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Dupin Hypersurfaces in
${{\mathbb{R}}^{5}}$
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- Journal:
- Canadian Journal of Mathematics / Volume 57 / Issue 6 / 01 December 2005
- Published online by Cambridge University Press:
- 20 November 2018, pp. 1291-1313
- Print publication:
- 01 December 2005
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We study Dupin hypersurfaces in
${{\mathbb{R}}^{5}}$ parametrized by lines of curvature, with four distinct principal curvatures. We characterize locally a generic family of such hypersurfaces in terms of the principal curvatures and four vector valued functions of one variable. We show that these vector valued functions are invariant by inversions and homotheties.
