On Embedding Manifolds Which Are Bundles over Spheres1
نویسنده
چکیده
These results were discovered in an attempt to embed real projective spaces. The well-known Hopf fiberings of Pu and Pi give the following representations of these spaces: Pi is a fiber space over S4 with P% as fiber, and Pu is a fiber space over S8 with P7 as fiber. Since any embedding of Pz in R6 has a trivial normal bundle [ó], Theorem 1.2 applies for Pi. Theorem 1.1 applies for Pu and, hence, we have
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تاریخ انتشار 2010