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Singular surfaces of revolution with prescribed unbounded mean curvature

Authors :
MARTINS LUCIANA F.
KENTARO SAJI
SAMUEL P. DOS SANTOS
KEISUKE TERAMOTO
Source :
Anais da Academia Brasileira de Ciências, Vol 91, Iss 3
Publisher :
Academia Brasileira de Ciências.

Abstract

Abstract: We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for certain types of singularities of those surfaces. Periodicity of that surface is also discussed.

Subjects

Subjects :
Cuspidal edge
mean curvature
periodicity surface of revolution
cusps
Science

Details

Language :
English
ISSN :
16782690 and 00013765
Volume :
91
Database :
Directory of Open Access Journals
Journal :
Anais da Academia Brasileira de Ciências
Publication Type :
Academic Journal
Accession number :
edsdoj.3fdc3d26ce68493fad6c7a60cfc75a20
Document Type :
article
Full Text :
https://doi.org/10.1590/0001-3765201920170865
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