Minimal surfaces with constant Kähler angle in complex projective spaces
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- by Xiao Huan Mo PDF
- Proc. Amer. Math. Soc. 121 (1994), 569-571 Request permission
Abstract:
Let $\psi :{S^2} \to C{P^n}$ be an isometric minimal immersion of the Riemann sphere ${S^2}$ into $C{P^n}$ with constant Kähler angle $\theta$. In this paper, we prove that Bolton et al.’s conjecture holds if $\theta$ is not too close to $\frac {\pi }{2}$, that is, $\psi$ is $\pm$ holomorphic or belongs to the Veronese sequence if $|\cos \theta | \geq \frac {1}{5}$.References
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- Shigetoshi Bando and Yoshihiro Ohnita, Minimal $2$-spheres with constant curvature in $\textrm {P}_n(\textbf {C})$, J. Math. Soc. Japan 39 (1987), no. 3, 477–487. MR 900981, DOI 10.2969/jmsj/03930477
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 569-571
- MSC: Primary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1994-1185271-6
- MathSciNet review: 1185271