Topology of quadratic maps and Hessians of smooth maps

DOI10.1007/BF02133177zbMath0719.58006OpenAlexW1972610374MaRDI QIDQ2640201

Andrei A. Agrachev

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02133177

zbMATH Keywords

Hessiandifferentiable mappingsquadratic mappings

Mathematics Subject Classification ID

Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15)

Related Items (15)

On surjective quadratic mappings ⋮ Problems of distance geometry and convex properties of quadratic maps ⋮ Remarks on quadratic mappings ⋮ Extremal connectors for disjoint circles ⋮ On a classical correspondence of real $\mathrm{K}3$ surfaces ⋮ Some properties of two-dimensional surjective \(p\)-homogeneous maps ⋮ On surjective quadratic maps of \(\mathbb{P}^2 \) ⋮ Properties of surjective real quadratic maps ⋮ Topology of real multi-affine hypersurfaces and a homological stability property ⋮ Geodesic diameter of sets defined by few quadratic equations and inequalities ⋮ A sharper estimate on the Betti numbers of sets defined by quadratic inequalities ⋮ Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications ⋮ Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials ⋮ Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials ⋮ On cylindricity of submanifolds of nonnegative Ricci curvature in a Minkowski space

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