Some remarks on the Pigola-Rigoli-Setti version of the Omori-Yau maximum principle
| Autor: | Francisco Fontenele, Alexandre Paiva Barreto |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Hessian matrix
Mathematics - Differential Geometry Pure mathematics 53C21 35B50 Logical equivalence Scope (project management) General Mathematics Curvature law.invention symbols.namesake Maximum principle Differential Geometry (math.DG) law Bounded function FOS: Mathematics symbols Mathematics::Differential Geometry Laplace operator Manifold (fluid mechanics) Mathematics |
| ISSN: | 0004-9727 |
| Popis: | We prove that the hypotheses in the Pigola–Rigoli–Setti version of the Omori–Yau maximum principle are logically equivalent to the assumption that the manifold carries a${C}^{2} $proper function whose gradient and Hessian (Laplacian) are bounded. In particular, this result extends the scope of the original Omori–Yau principle, formulated in terms of lower bounds for curvature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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