Monotone point-to-set vector field
dc.creator | Cruz Neto, João Xavier da | |
dc.creator | Ferreira, Orizon Pereira | |
dc.creator | Lucambio Pérez, Luis Román | |
dc.date.accessioned | 2018-06-13T10:55:44Z | |
dc.date.available | 2018-06-13T10:55:44Z | |
dc.date.issued | 2000 | |
dc.description.abstract | We introduce the concept of monotone point-to-set field in Riemannian man- ifold and give a characterization, that make clear in this definition the occult geometric meaning. We will show that the sub-differential operator of a Rieman- nian convex function is a monotone point-to-set field. The concept of directional derivative, which appears already in other publications, plays an important role in the proof of the result above. We study some of its properties, in particular, we obtain the chain rule, which is fundamental in our work. Some topological consequences of the existence of strictly monotone point-to-set fields are pre- sented. | pt_BR |
dc.identifier.citation | CRUZ NETO, J. X. ; FERREIRA, O. P. ; LUCAMBIO PÉREZ, L. R. Monotone point-to-set vector field. Balkan Journal of Geometry and its Applications, Bucharest, v. 5, n.1, p. 69-79, 2000. | pt_BR |
dc.identifier.issn | 1224-2780 | |
dc.identifier.issn | e- 1843-2875 | |
dc.identifier.uri | http://repositorio.bc.ufg.br/handle/ri/15224 | |
dc.language.iso | eng | pt_BR |
dc.publisher.country | Outros | pt_BR |
dc.publisher.department | Instituto de Matemática e Estatística - IME (RG) | pt_BR |
dc.rights | Acesso Aberto | pt_BR |
dc.subject | Parallel transport | pt_BR |
dc.subject | Directional derivative | pt_BR |
dc.subject | Riemannian convexity | pt_BR |
dc.subject | Monotone point-to-set vector field | pt_BR |
dc.title | Monotone point-to-set vector field | pt_BR |
dc.type | Artigo | pt_BR |
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