Geodesic
On unit sphere tangent bundles over complex Grassmannians
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2.

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Let $ G_{k,n}(\C) $ for $ 2\leq k n $ denote the Grassmann manifold of $ k $-dimensional vector subspaces of $ \C^{n}. $ In this paper we show that the total space of the unit sphere tangent bundle $ S^{2m-1}\rightarrow E\overset{p}{\rightarrow} G_{k,n}(\C) $ is not formal, where $ m=k(n-k). $
Publié le :
DOI : 10.30755/NSJOM.10787
Classification : 55P62, 55P15
Keywords: Sullivan algebra, Sphere bundle, Complex Grassmann manifolds, Formality 
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     author = {Jean Baptiste Gatsinzi and Oteng Maphane},
     title = {On unit sphere tangent bundles over complex {Grassmannians}},
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Jean Baptiste Gatsinzi; Oteng Maphane. On unit sphere tangent bundles over complex Grassmannians. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2. doi : 10.30755/NSJOM.10787. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10787/

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