dc.creator | Kristály, Alexandru | es |
dc.creator | Li, Chong | es |
dc.creator | López Acedo, Genaro | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2016-09-20T11:15:24Z | |
dc.date.available | 2016-09-20T11:15:24Z | |
dc.date.issued | 2016-09 | |
dc.identifier.citation | Kristály, A., Li, C., López Acedo, G. y Nicolae, A. (2016). What do 'convexities' imply on Hadamard manifolds?. Journal of Optimization Theory and Applications, 170 (3), 1068-1074. | |
dc.identifier.issn | 0022-3239 | es |
dc.identifier.issn | 1573-2878 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45141 | |
dc.description.abstract | Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these conditions are mutually equivalent and they hold if and only if the Hadamard manifold is isometric to the Euclidean space. In this way, we show that some results in the literature obtained on Hadamard manifolds are actually nothing but their well known Euclidean counterparts. | es |
dc.description.sponsorship | Romanian Ministry of Education | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal of Optimization Theory and Applications, 170 (3), 1068-1074. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hadamard manifold | es |
dc.subject | Convexity | es |
dc.title | What do 'convexities' imply on Hadamard manifolds? | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PN-II-RU-TE-2011-3-0047 | es |
dc.relation.projectID | MTM2012-34847-C02-01 | es |
dc.relation.projectID | PN-II-RUPD-2012-3-0152 | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/926/art%253A10.1007%252Fs10957-015-0780-2.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10957-015-0780-2&token2=exp=1474370304~acl=%2Fstatic%2Fpdf%2F926%2Fart%25253A10.1007%25252Fs10957-015-0780-2.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs10957-015-0780-2*~hmac=09cda080e15dd9ec79b0f870b4c51776e4d6cbecc80f9832295bafb3e801e2c2 | es |
dc.identifier.doi | 10.1007/s10957-015-0780-2 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 6 p. | es |
dc.journaltitle | Journal of Optimization Theory and Applications | es |
dc.publication.volumen | 170 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1068 | es |
dc.publication.endPage | 1074 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45141 | |
dc.contributor.funder | Ministry of Education. Romania | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |