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 surface; helicoid; catenoid; associate minimal surfaces; conjugate minimal surfaces; IMMERSIONS
제목
HELICOIDAL MINIMAL SURFACES IN H-2 x R
저자
Kim, Young Wook; Koh, Sung-Eun; Shin, Heayong; Yang, Seong-Deog
DOI
10.1017/S0004972711003042
발행일
2012-08
유형
Article
저널명
Bulletin of the Australian Mathematical Society
권
86
호
1
페이지
135 ~ 149