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Abstract:In this paper, the theory of functions of one complex variable is explored to study linearly full unramified holomorphic two-spheres with constant curvature in $G(2,n)$ satisfying that the generated harmonic sequence degenerates at position $2$. Firstly, we determine the value distribution of the curvature and give the explicit characterization of such holomorphic two-spheres in terms of a polynomial equation. Then, applying this characterization, many examples of non-homogeneous constantly curved holomorphic two-spheres are constructed.
From: Ling He [view email]
[v1]
Sun, 24 Mar 2019 14:03:53 UTC (22 KB)
[v2]
Wed, 24 Jul 2019 15:40:33 UTC (25 KB)
[v3]
Mon, 9 Dec 2019 09:50:27 UTC (27 KB)
[v4]
Thu, 5 Mar 2020 10:45:40 UTC (27 KB)
[v5]
Tue, 23 Jun 2026 05:59:48 UTC (1 KB) (withdrawn)
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