Finite harmonic maps of surfaces into G(2, 4)(曲面到G(2,4)的有限调和映照)
给出连通曲面M到G(2,4)的有限调和映照的另一形式的构造定理.证明了:M到G(2,4)的非±全纯的有限调和映照,局部地或者可由M到CP3的某一全纯映照所生成的调和序列及一个满足某个一阶偏微分方程的函数构造出来,或者可由两个M到CP1⊂CP3的全纯映照构造出来.这样,相对于G(2,4)而言,构造定理比BURSTALL F E与WOOD J C的构造定理更直接、更显式.此外,讨论了M在诱导度量下的曲率Pinching性质....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2002-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
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| Online Access: | https://doi.org/zjup/1008-9497.2002.29.6.619-625 |