On the problem of realization of a given Gaussian curvature function

DOI10.12775/TMNA.1998.013zbMath0935.53001OpenAlexW1541904541MaRDI QIDQ1282191

Vladimir I. Arnold

Publication date: 3 May 2000

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1998.013

zbMATH Keywords

critical pointHessianGaussian curvaturefinite determinacy

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Other special methods applied to PDEs (35A25)

Related Items (4)

On the affine geometry of the graph of a real polynomial ⋮ On some combinatorial formulae coming from Hessian topology ⋮ On the realization problem of real algebraic plane curves as Hessian curves ⋮ On the complex and real Hessian polynomials

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