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Singular surfaces of revolution with prescribed unbounded mean curvature

Authors :
Kentaro Saji
Martins Luciana F.
Keisuke Teramoto
Samuel P. dos Santos
Universidade Estadual Paulista (Unesp)
Nishi-ku Fukuoka 819-0395
Source :
Anais da Academia Brasileira de Ciências v.91 n.3 2019, Anais da Academia Brasileira de Ciências, Academia Brasileira de Ciências (ABC), instacron:ABC, Scopus, Repositório Institucional da UNESP, Universidade Estadual Paulista (UNESP), instacron:UNESP, Anais da Academia Brasileira de Ciências, Volume: 91, Issue: 3, Article number: e20170865, Published: 02 SEP 2019, Anais da Academia Brasileira de Ciências, Vol 91, Iss 3
Publication Year :
2017

Abstract

We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodicity of that surface is also discussed.<br />9 pages 11 figures

Details

Language :
English
Database :
OpenAIRE
Journal :
Anais da Academia Brasileira de Ciências v.91 n.3 2019, Anais da Academia Brasileira de Ciências, Academia Brasileira de Ciências (ABC), instacron:ABC, Scopus, Repositório Institucional da UNESP, Universidade Estadual Paulista (UNESP), instacron:UNESP, Anais da Academia Brasileira de Ciências, Volume: 91, Issue: 3, Article number: e20170865, Published: 02 SEP 2019, Anais da Academia Brasileira de Ciências, Vol 91, Iss 3
Accession number :
edsair.doi.dedup.....beabc62d7c8e35790334771bbdd79ba1