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- W2289232419 abstract "Let $Gr_k(H^n)$ be the Grassmannian manifold of Quaternionic $k$-planes in $H^n$ and let $gamma^n_kto Gr_k(H^n)$ denote the Stiefel bundle of quaternionic $k$-frames in $H^n$. Let $sigma$ denote the first symplectic Pontrjagin form associated with the universal connection on $gamma^n_k$. We show that every 4-form $omega$ on a smooth manifold $M$ can be induced from $sigma$ by a smooth immersion $f:Mto Gr_k(H^n)$ (for sufficiently large $k$ and $n$) provided there exists a continuous map $f_0:Mto Gr_k(H^n)$ which pulls back the cohomology class of $sigma$ onto that of $omega$." @default.
- W2289232419 created "2016-06-24" @default.
- W2289232419 creator A5031857166 @default.
- W2289232419 date "2012-12-24" @default.
- W2289232419 modified "2023-09-27" @default.
- W2289232419 title "Immersions in a Quaternionic Grassmannian inducing a given 4-form" @default.
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