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.
Citation
Dong-Soo Kim. Young Ho Kim. Dae Won Yoon. "Characterizations of Tori in $3$-spheres." Taiwanese J. Math. 20 (5) 1053 - 1064, 2016. https://doi.org/10.11650/tjm.20.2016.7247
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