Durán Batalla, Juan Luis - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Resultats globals: 4 registres trobats en 0.02 segons.
Articles, 1 registres trobats Documents de recerca, 1 registres trobats Materials acadèmics, 2 registres trobats

Articles	1 registres trobats

15 p, 317.5 KB

Connected components of Isom(H3)-representations of non-orientable surfaces / Durán Batalla, Juan Luis (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let N denote the closed non-orientable surface of genus k. In this paper we study the behaviour of the 'square map' from the group of isometries of hyperbolic 3-space to the subgroup of orientation preserving isometries. [...]
2022 - DOI (Digital Object Identifier)

10.1007/s10711-022-00682-x
Geometriae Dedicata, Vol. 216, Issue 3 (June 2022) , art. 25

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Documents de recerca	1 registres trobats

160 p, 1020.5 KB

Deformations and representations of low dimensional non-orientable hyperbolic manifolds / Durán Batalla, Juan Luis ; Porti, Joan, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En aquesta tesi estenem diversos resultats coneguts sobre 3-varietats hiperbòliques i superfícies al cas no orientable i els comparem amb el seu equivalent orientable. En particular, ens centrem en el espai de deformacions de una 3-varietat hiperbòlica no orientable de volum finit, la competació métrica de dites deformacions i la varietat de representacions de l'ampolla de Klein i, més generalment, de qualsevol superfície tancada no orientable. [...]
En esta tesis extendemos varios resultados conocidos sobre 3-variedades hiperbólicas y superficies al caso no orientable y los comparamos con su equivalente orientable. En particular, nos centramos en el espacio de deformaciones de una 3-variedad hiperbólica no orientable de volumen finito, la completación métrica de dichas deformaciones y la variedad de representaciones de la botella de Klein y, más generalmente, de cualquier superficie cerrada no orientable. [...]
In this work, we extend several known results on hyperbolic 3-manifolds and surfaces to the non-orientable case and compare them to its orientable counterpart. In particular, we focus on the deformation space of a non-orientable hyperbolic 3-manifold of finite volume, the metric completion of said deformations and the variety of representation of the Klein bottle and, more generally, of any closed non-orientable surface. [...]
2021

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Materials acadèmics	2 registres trobats

4 p, 102.2 KB

Topologia de varietats [100114] / Pitsch, Wolfgang ; Durán Batalla, Juan Luis ; Universitat Autònoma de Barcelona. Facultat de Ciències
Ever since the concept of homeomorphism was clearly defined, the "ultimate" problem in topology has been to classify topological spaces ''up to homeomorphism". That this was a hopeless undertaking was very soon apparent, the subspaces of the plane R2 being an obvious example. [...]
Ever since the concept of homeomorphism was clearly defined, the "ultimate" problem in topology has been to classify topological spaces ''up to homeomorphism". That this was a hopeless undertaking was very soon apparent, the subspaces of the plane R2 being an obvious example. [...]
2019-20
Grau en Matemàtiques [777]