Minimal surfaces in a complex hyperquadric Q 2 |
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| Authors: | Xiaoxiang Jiao Jun Wang |
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| Affiliation: | 1. School of Mathematics, Graduate University, Chinese Academy of Sciences, Beijing, 100049, China
2. School of Mathematics, Nanjing Normal University, Nanjing, 210046, China
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| Abstract: | In this paper, we discuss minimal surfaces in a complex hyperquadric Q 2. It is proved that every minimal surface of constant Kähler angle in Q 2 is holomorphic, anti-holomorphic, or totally real. We also prove that minimal two-spheres in Q 2 with either constant curvature or parallel second fundamental form must be totally geodesic. |
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