HELICOIDAL MINIMAL SURFACES IN H-2 x R

Citations

WEB OF SCIENCE

6
Citations

SCOPUS

5

초록

It is shown that a minimal surface in H-2 x R is invariant under a one-parameter group of screw motions if and only if it lies in the associate family of helicoids. It is also shown that the conjugate surfaces of the parabolic and hyperbolic helicoids in H-2 x R are certain types of catenoids.

키워드

helicoidal surfacehelicoidcatenoidassociate minimal surfacesconjugate minimal surfacesIMMERSIONS
제목
HELICOIDAL MINIMAL SURFACES IN H-2 x R
저자
Kim, Young WookKoh, Sung-EunShin, HeayongYang, Seong-Deog
DOI
10.1017/S0004972711003042
발행일
2012-08
유형
Article
저널명
Bulletin of the Australian Mathematical Society
86
1
페이지
135 ~ 149