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http://hdl.handle.net/2445/125730
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DC Field | Value | Language |
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dc.contributor.advisor | Mundet i Riera, Ignasi | - |
dc.contributor.author | Esquirol Esteve, Josep | - |
dc.date.accessioned | 2018-10-30T11:34:16Z | - |
dc.date.available | 2018-10-30T11:34:16Z | - |
dc.date.issued | 2018-06-26 | - |
dc.identifier.uri | http://hdl.handle.net/2445/125730 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Ignasi Mundet i Riera | ca |
dc.description.abstract | [en] The goal of this work is to prove a non existence theorem of non-trivial $S^{1}$ actions on a certain kind of smooth manifolds. More specifically, let $T$ be the $n$-dimensional torus and $M$ a smooth conected, closed (i.e. compact and without bondary) and orientable manifold of dimension $n$ such that $\chi(T \# M) \neq 0$. Then there are no non-trivial $S^{1}$ actions on $T \neq M$. Before proving this statement, some smooth manifold and Lie group theory will be developed: the proof of the Sard and the Poincaré-Hopf theorems stand out in this part. | ca |
dc.format.extent | 51 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Josep Esquirol Esteve, 2018 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Grups de Lie | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Grups de transformacions | ca |
dc.subject.classification | Espais topològics | ca |
dc.subject.classification | Varietats diferenciables | ca |
dc.subject.other | Lie groups | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Transformation groups | en |
dc.subject.other | Topological spaces | en |
dc.subject.other | Differentiable manifolds | en |
dc.title | Varietats sense accions de $S^{1}$ no trivials | 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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memoria.pdf | Memòria | 772.13 kB | Adobe PDF | View/Open |
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