Complete 3d-Homogeneous Manifolds

Mathematics – Geometric Topology

Scientific paper

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This paper contains a gap. This submission has been withdrawn by the author.

Scientific paper

Assume that $M$ is close three dimensional manifold. We prove that
$M\setminus \{p\}$ is a complete homogeneous manifold. As a corollary, we give
a new proof on the classical Poincar\'e's conjecture.

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