scientific article; zbMATH DE number 1979583

zbMath1056.53003MaRDI QIDQ4427950

V. V. Ivanov

Publication date: 14 September 2003

Full work available at URL: https://eudml.org/doc/51160

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zbMATH Keywords

resolution of singularitiesPuiseux seriespolar coordinatesumbilic pointnormal curvatureprincipal directionindex of a vector fieldanalytical surfaceWeierstrass preparatory theoremimplicit analytic functionrotation of a regular line

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Index theory and related fixed-point theorems on manifolds (58J20) Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Local complex singularities (32S05) Differentiable maps on manifolds (58C25)

Related Items (8)

Umbilical points on three dimensional strictly pseudoconvex CR manifolds. I: Manifolds with \(\mathrm{U}(1)\)-action ⋮ The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ A criterion for the nonexistence of closed leaves in unorientable planar foliations ⋮ An upper bound of the index of an equilibrium point in the plane ⋮ On the index of principal foliations of surfaces in R^3 with corank 1 singularities ⋮ Critical curves for the total normal curvature in surfaces of 3-dimensional space forms ⋮ Quadratic points of surfaces in projective 3-space ⋮ Normal curvatures of asymptotically constant graphs and Carathéodory’s conjecture

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