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dc.creatorKristály, Alexandrues
dc.creatorLi, Chonges
dc.creatorLópez Acedo, Genaroes
dc.creatorNicolae, Adrianaes
dc.date.accessioned2016-09-20T11:15:24Z
dc.date.available2016-09-20T11:15:24Z
dc.date.issued2016-09
dc.identifier.citationKristály, 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.issn0022-3239es
dc.identifier.issn1573-2878es
dc.identifier.urihttp://hdl.handle.net/11441/45141
dc.description.abstractVarious 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.sponsorshipRomanian Ministry of Educationes
dc.description.sponsorshipDirección General de Enseñanza Superiores
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofJournal of Optimization Theory and Applications, 170 (3), 1068-1074.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHadamard manifoldes
dc.subjectConvexityes
dc.titleWhat do 'convexities' imply on Hadamard manifolds?es
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDPN-II-RU-TE-2011-3-0047es
dc.relation.projectIDMTM2012-34847-C02-01es
dc.relation.projectIDPN-II-RUPD-2012-3-0152es
dc.relation.publisherversionhttp://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=09cda080e15dd9ec79b0f870b4c51776e4d6cbecc80f9832295bafb3e801e2c2es
dc.identifier.doi10.1007/s10957-015-0780-2es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent6 p.es
dc.journaltitleJournal of Optimization Theory and Applicationses
dc.publication.volumen170es
dc.publication.issue3es
dc.publication.initialPage1068es
dc.publication.endPage1074es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45141
dc.contributor.funderMinistry of Education. Romania
dc.contributor.funderDirección General de Enseñanza Superior. España

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