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arXiv · 1705.07786

On codimension-1 submanifolds of the real and complex projective space

Beniamino Cappelletti Montano·Andrea Loi·Daniele Zuddas
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Abstract

Inspired by the analogous result in the algebraic setting (Theorem 1) we show (Theorem 2) that the product $M \times \mathbb{R}P^n$ of a closed and orientable topological manifold $M$ with the $n$-dimensional real projective space cannot be topologically locally flat embedded into $\mathbb{R}P^{m + n + 1}$ for all even $n > m$.

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Beniamino Cappelletti Montano, Andrea Loi, Daniele Zuddas. 2017-05-22. On codimension-1 submanifolds of the real and complex projective space. https://arxiv.org/abs/1705.07786

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