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Conformal minimal two-spheres in Q 2

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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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Correspondence to Jun Wang.

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Wang, J., Jiao, X. Conformal minimal two-spheres in Q 2 . Front. Math. China 6, 535–544 (2011). https://doi.org/10.1007/s11464-011-0137-6

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  • DOI: https://doi.org/10.1007/s11464-011-0137-6

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