Title

Rational homotopy of maps between certain complex Grassmann manifolds

Article Type

Research Article

Publication Title

Mathematica Slovaca

Abstract

Let Gn,k denote the complex Grassmann manifold of k-dimensional vector subspaces of n. Assume l,k ≤ n/2. We show that, for sufficiently large n, any continuous map h : Gn,l → Gn,k is rationally null homotopic if (i) 1 ≤ k < l, (ii) 2 < l < k < 2(l - 1), (iii) 1 < l < k, l divides n but l does not divide k.

First Page

181

Last Page

196

DOI

10.1515/ms-2017-0092

Publication Date

2-23-2018

Comments

All Open Access, Green

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