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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2020.tde-20012021-124450
Document
Master's Dissertation
Author
Espinoza, Mario Alexis Lamas (Catálogo USP)
Full name
Mario Alexis Lamas Espinoza
E-mail
E-mail
Institute/School/College
Instituto de Ciências Matemáticas e de Computação
Knowledge Area
Mathematics
Date of Defense
2020-11-20
Published
São Carlos, 2020
Supervisor
Manfio, Fernando (Catálogo USP)
Committee
Manfio, Fernando (President)
Canevari, Samuel da Cruz
Ferreira, Carlos Henrique Grossi
Villagra, Guillermo Antonio Lobos
Title in Portuguese
Superfícies mínimas e a conjectura de Lawson
Keywords in Portuguese
Conjectura de Lawson
Superfícies mínimas
Toro de Clifford.
Abstract in Portuguese
Em 1970, Blaine Lawson (LAWSON, 1970b) conjecturou que, a menos de isometrias da esfera S3, o toro de Clifford é a única superfície mínima, mergulhada e de genus 1 em S3. Neste trabalho apresentaremos a demonstração da conjectura de Lawson obtida em 2013 por Simon Brende (BRENDLE, 2013a).
Title in English
Minimal surfaces and the Lawson conjecture
Keywords in English
Clifford torus.
Lawson conjeture
Minimal surfaces
Abstract in English
In 1970, Blaine Lawson conjectured that the Clifford torus is the only embedded minimal surface in S3 of genus 1, up to rigid motions in S3. In this work we present the proof of this conjecture obtained in 2013 by Simon Brende (BRENDLE, 2013a).
 
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Publishing Date
2021-01-20
 
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