Singular surfaces of revolution with prescribed unbounded mean curvature

被引：2

作者：

Martins, Luciana F. ^{[1
]}

Saji, Kentaro ^{[2
]}

Dos Santos, Samuel P. ^{[1
]}

Teramoto, Keisuke ^{[3
]}

机构：

[1] Univ Estadual Paulista, Dept Matemat, UNESP, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

[2] Kobe Univ, Grad Sch Sci, Dept Math, Nada Ku, Rokkodai 1-1, Kobe, Hyogo 6578501, Japan

[3] Kyushy Univ, Inst Math Ind, Nishi Ku, 744 Motooka, Fukuoka, Fukuoka 8190395, Japan

来源：

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2019年 / 91卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Cuspidal edge; mean curvature; periodicity surface of revolution; cusps; BEHAVIOR; FRONTS;

D O I：

10.1590/0001-3765201920170865

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：10

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