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DC Field | Value | Language |
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dc.contributor.advisor | Ros, Xavier | - |
dc.contributor.author | Domingo Pasarin, Joan | - |
dc.date.accessioned | 2023-10-19T10:11:56Z | - |
dc.date.available | 2023-10-19T10:11:56Z | - |
dc.date.issued | 2023-06-06 | - |
dc.identifier.uri | http://hdl.handle.net/2445/202966 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Xavier Ros | ca |
dc.description.abstract | [en] Posed by Hidehiko Yamabe in 1960, the Yamabe problem asks whether it is possible to deform the metric of a given riemannian manifold so that its scalar curvature becomes constant. This problem can be reformulated in terms of a partial differential equation which makes it interesting from an analytical point of view. In this work we aim to study the Yamabe problem in a variational way in order to find a solution when the scalar curvature is non-positive. To do so, we study Sobolev spaces and the critical value of the Rellich-Kondrakov embedding theorem toghether with its close connection with the solution of the Yamabe equation. | ca |
dc.format.extent | 54 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Joan Domingo Pasarin, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Equacions en derivades parcials | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Equacions diferencials el·líptiques | ca |
dc.subject.classification | Varietats (Matemàtica) | ca |
dc.subject.classification | Geometria de Riemann | ca |
dc.subject.other | Partial differential equations | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Elliptic differential equations | en |
dc.subject.other | Manifolds (Mathematics) | en |
dc.subject.other | Riemannian geometry | en |
dc.title | El problema de Yamabe | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_joan_domingo_pasarin.pdf | Memòria | 666.3 kB | Adobe PDF | View/Open |
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