Curvas esféricas com curvatura proporcional a função altura

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Bibliografiska uppgifter
Huvudupphov: Furtado, Miriam Cristina Ferreira
Utgivningsdatum: 2024
Materialtyp: Master thesis
Språk: por
Källa: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/13594
Sammanfattning: In 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 function