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dc.provenanceCONICET-
dc.creatorHenry, Guillermo Sebastian-
dc.date2018-09-18T14:43:11Z-
dc.date2018-09-18T14:43:11Z-
dc.date2017-04-
dc.date2018-09-17T19:27:01Z-
dc.date.accessioned2019-04-29T15:37:24Z-
dc.date.available2019-04-29T15:37:24Z-
dc.date.issued2017-04-
dc.identifierHenry, Guillermo Sebastian; Second Yamabe constant on Riemannian products; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 260-275-
dc.identifier0393-0440-
dc.identifierhttp://hdl.handle.net/11336/60060-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/297949-
dc.descriptionLet (Mm,g) be a closed Riemannian manifold (m≥2) of positive scalar curvature and (Nn,h) any closed manifold. We study the asymptotic behaviour of the second Yamabe constant and the second N-Yamabe constant of (M×N,g+th) as t goes to +∞. We obtain that limt→+∞Y2(M×N,[g+th])=22m+nY(M×Rn,[g+ge]). If n≥2, we show the existence of nodal solutions of the Yamabe equation on (M×N,g+th) (provided t large enough). When sg is constant, we prove that limt→+∞YN 2(M×N,g+th)=22m+nYRn (M×Rn,g+ge). Also we study the second Yamabe invariant and the second N-Yamabe invariant.-
dc.descriptionFil: Henry, Guillermo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherElsevier Science-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.geomphys.2016.11.025-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044016303059-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1505.00981-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/60060-
dc.subjectNODAL SOLUTIONS-
dc.subjectSECOND YAMABE CONSTANT-
dc.subjectYAMABE EQUATION-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleSecond Yamabe constant on Riemannian products-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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