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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1999.tde-20210729-022817
Document
Author
Full name
José Antonio Moraes Vilhena
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1999
Supervisor
Title in Portuguese
Os exemplos de superfícies mínimas de Chen-Gackstätter
Keywords in Portuguese
Geometria Diferencial
Superfícies Mínimas
Abstract in Portuguese
Em 1981, Fritz Gackstätter e Chi Cheng Chen construíram duas superfícies mínimas completas orientadas em 'R POT.3' do tipo Enneper, respectivamente, com curvatura total finita -8'pi' e -12'pi' e gênero 1 e 2. Este trabalho, estuda a existência desses exemplos, assim como suas generalizações à uma família de superfícies mínimas completas do tipo Enneper em 'R POT.3', respectivamente com curvatura total -8'capa'pi' e -12'capa'pi' e gênero 'capa' e 2'capa', onde 'capa' 'PERTENCE A' Z+, obtidas em 1991 pelos matemáticos Hong Wang e Jianling Kang
Title in English
not available
Abstract in English
In 1981, Fritz Gackstätter and Chi Cheng Chen constructed two complete orientable minimal surfaces in 'R POT.3', of Enneper's type, with finite total curvature -8'pi' and -12'pi' and genus 1 and 2, respectively. This work is concerned with the existence of these examples, as well as their generalizations to a family of complete minimal surfaces of Enneper's type in 'R POT.3', with total curvature -8'capa'pi' and -12'capa'pi' and genus'capa' and 2'capa', respectively, where 'capa' 'PERTENCE A' Z+, obtained in 1991 by the mathematicians Hong Wang and Jianling Kang
 
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Publishing Date
2021-07-29
 
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