Relative Gottlieb Groups of Embeddings between Complex Grassmannians

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2021-11-15 DOI:10.1155/2021/1417769

J. Gatsinzi

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引用次数: 1

Abstract

Let

Gr (k, n)

be the complex Grassmann manifold of

k

-linear subspaces in

ℂ^{n}

. We compute rational relative Gottlieb groups of the embedding

i : Gr (k, n) ⟶ Gr (k, n + r)

and show that the

G

-sequence is exact if

r \geq k (n - k)

查看原文本刊更多论文

复杂格拉斯曼群之间的相对Gottlieb群嵌入

让Gr。n是在n上的k个线性子空间的复数Grassmann流形。我们计算嵌入i的有理相对Gottlieb群:Gr k, nn + r，并证明当r≥k n时G -序列是精确的−k。

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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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.