Second Yamabe constant on Riemannian products

Autores
Henry, Guillermo Sebastian
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let (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.
Fil: 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
Materia
NODAL SOLUTIONS
SECOND YAMABE CONSTANT
YAMABE EQUATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/60060
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Second Yamabe constant on Riemannian productsHenry, Guillermo SebastianNODAL SOLUTIONSSECOND YAMABE CONSTANTYAMABE EQUATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let (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.Fil: Henry, Guillermo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60060Henry, Guillermo Sebastian; Second Yamabe constant on Riemannian products; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 260-2750393-0440CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2016.11.025info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044016303059info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1505.00981info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:35:04Zoai:ri.conicet.gov.ar:11336/60060instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:35:04.77CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Second Yamabe constant on Riemannian products
title Second Yamabe constant on Riemannian products
spellingShingle Second Yamabe constant on Riemannian products
Henry, Guillermo Sebastian
NODAL SOLUTIONS
SECOND YAMABE CONSTANT
YAMABE EQUATION
title_short Second Yamabe constant on Riemannian products
title_full Second Yamabe constant on Riemannian products
title_fullStr Second Yamabe constant on Riemannian products
title_full_unstemmed Second Yamabe constant on Riemannian products
title_sort Second Yamabe constant on Riemannian products
dc.creator.none.fl_str_mv Henry, Guillermo Sebastian
author Henry, Guillermo Sebastian
author_facet Henry, Guillermo Sebastian
author_role author
dc.subject.none.fl_str_mv NODAL SOLUTIONS
SECOND YAMABE CONSTANT
YAMABE EQUATION
topic NODAL SOLUTIONS
SECOND YAMABE CONSTANT
YAMABE EQUATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let (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.
Fil: 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
description Let (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.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/60060
Henry, Guillermo Sebastian; Second Yamabe constant on Riemannian products; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 260-275
0393-0440
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60060
identifier_str_mv Henry, Guillermo Sebastian; Second Yamabe constant on Riemannian products; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 260-275
0393-0440
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2016.11.025
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044016303059
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1505.00981
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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