Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2020; 35(1): 279-285

Online first article August 27, 2019      Printed January 31, 2020

https://doi.org/10.4134/CKMS.c180453

Copyright © The Korean Mathematical Society.

Relative Gottlieb groups of the Pl\"ucker embedding of some complex Grassmanians

Jean B. Gatsinzi, Vitalis Onyango-Otieno, Paul A. Otieno

Department of Mathematics and Statiscal Sciences; Strathmore University; Strathmore University

Abstract

Let $\Gr(k,n)$ be the Grassmann manifold of $k$-linear subspaces in $ \mathbb{C}^n$. We compute rational relative Gottlieb groups of the Pl\"ucker embedding $ i: \Gr(2, n)\rightarrow \mathbb{C}P^{N-1} $, where $ N= n(n-1)/2$.

Keywords: Function spaces, Gottlieb groups, Grassmann manifolds

MSC numbers: Primary 55P62, 54C35