On Embedded Spheres of Affine Manifolds

Details On Embedded Spheres of Affine Manifolds On Embedded Spheres of Affine Manifolds

2011-10-16

arxiv.org/abs/1110.3541v1

Mathematics

Geometric Topology

Scientific paper

We investigate affine $n$-manifold $(M, \partial)$ with boundary homeomorphic
to $S^{n-1}$ for $n \geq 3$. If a neighborhood of the boundary can be developed
to an embedded sphere in $\mathbb{A}^n$ and the bounded part of its complement,
then $M$ is homeomorphic to a $n$-ball.

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