## Taiwanese Journal of Mathematics

### Characterizations of Tori in $3$-spheres

#### Abstract

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.

#### Article information

Source
Taiwanese J. Math., Volume 20, Number 5 (2016), 1053-1064.

Dates
First available in Project Euclid: 1 July 2017

https://projecteuclid.org/euclid.twjm/1498874516

Digital Object Identifier
doi:10.11650/tjm.20.2016.7247

Mathematical Reviews number (MathSciNet)
MR3555888

Zentralblatt MATH identifier
1357.53027

#### Citation

Kim, Dong-Soo; Kim, Young Ho; Yoon, Dae Won. Characterizations of Tori in $3$-spheres. Taiwanese J. Math. 20 (2016), no. 5, 1053--1064. doi:10.11650/tjm.20.2016.7247. https://projecteuclid.org/euclid.twjm/1498874516

#### References

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