@misc{10481/62234,
year = {2020},
url = {http://hdl.handle.net/10481/62234},
abstract = {This thesis is divided into three chapters. In the first chapter, it is done a brief introduction
of the main tools necessary for the development of this work. In turn, in the second
chapter it develops the Jenkins-Serrin theory for vertical and horizontal cases. Regarding
the vertical case, it only proves the existence of the solution of Jenkins-Serrin problem for
the type I, when M is rotationally symmetric and has non-positive sectional curvatures.
However, with respect to the horizontal case, the existence and the uniqueness is proved
in a general way, namely assuming that the base space M has a particular structure. The
third and last chapter of this thesis is devoted to proving a result of the characterization
of translating solitons in R^{n+1}. More precisely, it is proved that the unique examples
C^{1}-asymptotic to two half-hyperplanes outside a cylinder are the hyperplanes parallel to
e_{n+1} and the elements of the family associated with the tilted grim reaper cylinder in R^{n+1}.},
organization = {Tesis Univ. Granada.},
organization = {This study was financed in part by the Coordenação de Aperfeçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001 and PDSE/88881.132- 464/2016-01.},
publisher = {Universidad de Granada},
keywords = {Geometría},
keywords = {Topología},
title = {Problemas sobre la Curvatura Media en Rn+1},
author = {Souza Gama, Eddygledson},
}