Characterizations of Tori in 3-spheres

Citations

WEB OF SCIENCE

3
Citations

SCOPUS

3

초록

Using the II-metric and the II-Gauss map on a surface derived from the non-degenerate second fundamental form of a surface in the sphere, we establish some characterizations of compact surfaces including the spheres and the tori in the 3-dimensional unit sphere.

키워드

Torus; Principal curvatures; II-metric; Finite type immersion; II-Gauss map
제목
Characterizations of Tori in 3-spheres
저자
Kim, Dong-Soo; Kim, Young Ho; Yoon, Dae Won
DOI
10.11650/tjm.20.2016.7247
발행일
2016-10
유형
Article
저널명
Taiwanese Journal of Mathematics
권
20
호
5
페이지
1053 ~ 1064