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Relative Gottlieb Groups of Embeddings between Complex Grassmannians

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  • J. B. Gatsinzi

Abstract

Let Gr(k, n) be the complex Grassmann manifold of k‐linear subspaces in ℂn. 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 ≥ k(n − k).

Suggested Citation

  • J. B. Gatsinzi, 2021. "Relative Gottlieb Groups of Embeddings between Complex Grassmannians," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:1417769
    DOI: 10.1155/2021/1417769
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    References listed on IDEAS

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    1. Oteng Maphane, 2021. "Derivations of a Sullivan Model and the Rationalized G‐Sequence," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    2. Oteng Maphane & Sumit Chandok, 2021. "Derivations of a Sullivan Model and the Rationalized G-Sequence," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-5, February.
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