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Some Observations on projective Stiefel Manifolds (2403.14207v2)
Published 21 Mar 2024 in math.GT and math.AT
Abstract: We compute the upper characteristic rank of the projective Stiefel manifolds over $\mathbb R, \mathbb C$ and $\mathbb H$ and of the flip Stiefel manifolds. We provide bounds for the cup lengths of these spaces. We also provide necessary conditions for existence of $S3$-map between quaternionic Stiefel manifolds using Fadell-Husseini index.
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