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
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- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/60060
Ver los metadatos del registro completo
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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 Técnicas2025-10-22T11:03:05Zoai: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:34982025-10-22 11:03:05.307CONICET 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 |
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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 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
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Elsevier Science |
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Elsevier Science |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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