Curvas esféricas com curvatura proporcional a função altura

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Dettagli Bibliografici
Autore principale: Furtado, Miriam Cristina Ferreira
Data di pubblicazione: 2024
Natura: Master thesis
Lingua: por
Fonte: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/13594
Riassunto: 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
Descrizione
Riassunto: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