On the Distributional Hessian of the Distance Function
| Autor: | Gennady Uraltsev, Giovanni Mascellani, Carlo Mantegazza |
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| Přispěvatelé: | Mantegazza, Carlo Maria, Mascellani, Giovanni, Uraltsev, Gennady, Giovanni, Mascellani, Gennady, Uraltsev |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Hessian matrix
Mathematics - Differential Geometry Pure mathematics General Mathematics Structure (category theory) Cut locus distance function Riemannian manifold Functional Analysis (math.FA) cut locus Mathematics - Functional Analysis symbols.namesake Mathematics - Analysis of PDEs Differential Geometry (math.DG) FOS: Mathematics symbols Point (geometry) Mathematics::Differential Geometry Laplace operator Mathematics Analysis of PDEs (math.AP) |
| Popis: | We describe the precise structure of the distributional Hessian of the distance function from a point of a Riemannian manifold. At the same time we discuss some geometrical properties of the cut locus of a point, and compare some different weak notions of the Hessian and Laplacian. |
| Databáze: | OpenAIRE |
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