Some Observations on projective Stiefel Manifolds

Bikramjit Kundu; Sudeep Podder

doi:10.1007/s40879-025-00857-2

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arXiv · 2403.14207

Some Observations on projective Stiefel Manifolds

Bikramjit Kundu·Sudeep Podder

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Abstract

In this note, we compute the upper characteristic rank of the projective Stiefel manifolds over $\mathbb{R}, \mathbb{C}$ and $\mathbb{H}$ and the flip Stiefel manifolds. We also provide bounds for the $\mathrm{cup}$ lengths of these spaces. We also provide necessary conditions for the existence of $S^3$-map between quaternionic Stiefel manifolds using the Fadell-Husseini index.

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Bikramjit Kundu, Sudeep Podder. 2024-03-21. Some Observations on projective Stiefel Manifolds. https://doi.org/10.1007/s40879-025-00857-2

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