由全纯线束的正交直和导出的等变全纯映射到复格拉斯曼的刚性

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2018-01-01 DOI:10.18910/67752

Isami Koga

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引用次数: 0

摘要

本文研究了紧单连通齐次K¨ahler流形上由全纯线束的正交直和导出到复Grassmannian的全纯映射。然后我们证明如果这些映射是等变的，那么它们在复等距内是唯一的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A rigidity of equivariant holomorphic maps into a complex Grassmannian induced from orthogonal direct sums of holomorphic line bundles

In the present paper, we study holomorphic maps induced from orthogonal direct sums of holomorphic line bundles over a compact simply connected homogeneous K¨ahler manifold into a complex Grassmannian. Then we show if such maps are equivariant, then they are unique up to complex isometry.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.