Conformal minimal two-spheres in Q
2 |
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Authors: | Jun Wang Xiaoxiang Jiao |
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Institution: | 1. School of Mathematics, Graduate University, Chinese Academy of Sciences, Beijing, 100049, China
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Abstract: | In this paper, we consider a conformal minimal immersion f from S
2 into a hyperquadric Q
2, and prove that its Gaussian curvature K and normal curvature K
⊥ satisfy K + K
⊥ = 4. We also show that the ellipse of curvature is a circle. |
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Keywords: | |
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