2024-10-222024-10-222024-09-27FURTADO, M. C. F. Curvas esféricas com curvatura proporcional a função altura. 2024. 88 f. Dissertação (Mestrado em Matemática) - Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2024.http://repositorio.bc.ufg.br/tede/handle/tede/13594In the work, we analyze the study by [17] on the characterization of soliton solutions of the Curve Shortening Flow (CSF) on revolution surfaces in the space R³, demonstrating that such solutions asymptote the parallels that are geodesics. Furthermore, we will address the work carried out by [8] that characterizes soliton solutions on the unitary sphere S². We will apply a similar methodology to describe curves with curvature depends on the height functionAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fluxo redutor de curvasSólitonSuperfície de rotaçãoEsferaCurve shortening flowSolitonRevolution surfaceSphereCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação