Frontiers of Mathematics in China >
Minimal two-spheres with constant curvature in
Received date: 07 Nov 2020
Accepted date: 17 Jan 2021
Published date: 15 Jun 2021
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We study conformal minimal two-spheres immersed into the quaternionic projective space by using the twistor map. We present a method to construct new minimal two-spheres with constant curvature in , based on the minimal property and horizontal condition of Veronese map in complex projective space. Then we construct some concrete examples of conformal minimal two-spheres in with constant curvature 2/n, n = 4, 5, 6, respectively. Finally, we prove that there exist conformal minimal two-spheres with constant curvature 2/n in (n≥7):
Shaoteng ZHANG , Xiaoxiang JIAO . Minimal two-spheres with constant curvature in [J]. Frontiers of Mathematics in China, 2021 , 16(3) : 901 -923 . DOI: 10.1007/s11464-021-0902-0
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