Singular surfaces of revolution with prescribed unbounded mean curvature

Singular surfaces of revolution with prescribed unbounded mean curvature

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.

Bibliographic Details
Main Authors: MARTINS LUCIANA F., KENTARO SAJI, SAMUEL P. DOS SANTOS, KEISUKE TERAMOTO
Format: Article
Language:English
Published: Academia Brasileira de Ciências
Series:Anais da Academia Brasileira de Ciências
Subjects:
Cuspidal edge
mean curvature
periodicity surface of revolution
cusps
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000500203&lng=en&tlng=en
Description
Summary: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.
ISSN:1678-2690

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