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Characterizations of Tori in 3-spheresopen access
- Authors
- Kim, Dong-Soo; Kim, Young Ho; Yoon, Dae Won
- Issue Date
- Oct-2016
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- Torus; Principal curvatures; II-metric; Finite type immersion; II-Gauss map
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.20, no.5, pp 1053 - 1064
- Pages
- 12
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 20
- Number
- 5
- Start Page
- 1053
- End Page
- 1064
- ISSN
- 1027-5487
2224-6851
- 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.
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