A型对称空间中非平坦全测地线曲面的关系及其多项式表示

IF 0.4 4区数学 Q4 MATHEMATICS Kodai Mathematical Journal Pub Date : 2019-06-01 DOI:10.2996/KMJ/1562032828

H. Hashimoto, Misa Ohashi, Kazuhiro Suzuki

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引用次数: 0

摘要

本文给出了K. Mashimo得到的A型对称空间的非平坦全测地面复合映射的多项式表示的计算系统，以及A型对称空间到SU(n)$的Cartan嵌套。利用该方法得到了对称空间中AI、AII和AIII型非平坦全测地线曲面之间的关系。

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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Relationships among non-flat totally geodesic surfaces in symmetric spaces of type A and their polynomial representations

We give computational systems of polynomial representations of the composition maps of non-flat totally geodesic surfaces of the symmetric spaces of type A which are obtained by K. Mashimo, and the Cartan imbeddings of symmetric spaces of type A to $SU(n)$. We obtain the relationships among the non-flat totally geodesic surfaces in symmetric spaces of types AI, AII and AIII by this methods.

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来源期刊

Kodai Mathematical Journal 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： Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.