Relative Gottlieb Groups of Embeddings between Complex Grassmannians

Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k.

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Autor principal: J. B. Gatsinzi
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/9d7d1575955748948dac6056f970df12
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spelling oai:doaj.org-article:9d7d1575955748948dac6056f970df122021-11-29T00:56:36ZRelative Gottlieb Groups of Embeddings between Complex Grassmannians1687-042510.1155/2021/1417769https://doaj.org/article/9d7d1575955748948dac6056f970df122021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1417769https://doaj.org/toc/1687-0425Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k.J. B. GatsinziHindawi LimitedarticleMathematicsQA1-939ENInternational Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
J. B. Gatsinzi
Relative Gottlieb Groups of Embeddings between Complex Grassmannians
description Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k.
format article
author J. B. Gatsinzi
author_facet J. B. Gatsinzi
author_sort J. B. Gatsinzi
title Relative Gottlieb Groups of Embeddings between Complex Grassmannians
title_short Relative Gottlieb Groups of Embeddings between Complex Grassmannians
title_full Relative Gottlieb Groups of Embeddings between Complex Grassmannians
title_fullStr Relative Gottlieb Groups of Embeddings between Complex Grassmannians
title_full_unstemmed Relative Gottlieb Groups of Embeddings between Complex Grassmannians
title_sort relative gottlieb groups of embeddings between complex grassmannians
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/9d7d1575955748948dac6056f970df12
work_keys_str_mv AT jbgatsinzi relativegottliebgroupsofembeddingsbetweencomplexgrassmannians
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