RATIONAL HOMOTOPY OF MAPS BETWEEN CERTAIN COMPLEX GRASSMANN MANIFOLDS

被引：3

作者：

Chakraborthy, Pratheep ^{[1
]}

Masuti, Shreedevi K. ^{[2
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, 8th Mile Mysore Road, Bangalore 560059, Karnataka, India

[2] Inst Math Sci, 5 Cross Rd,CIT Campus, Madras 600113, Tamil Nadu, India

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 01期

关键词：

Grassmann manifold; homotopy class of maps; graded algebra homomorphism; cohomology algebra; SELF-MAPS; AUTOMORPHISMS; COHOMOLOGY;

D O I：

10.1515/ms-2017-0092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G(n, k) denote the complex Grassmann manifold of k-dimensional vector subspaces of C-n. Assume l,k <= [/2]. We show that, for sufficiently large n, any continuous map h : G(n,l) -> G(n,k) is rationally null homotopic if (i) 1 <= k < 1, (ii) 2 < 1 < k < 2(l - 1), (iii) 1 < l < k, l divides n but 1 does not divide k. 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：181 / 196

页数：16

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