A splitting theorem for good complexifications

Indranil Biswas; Mahan Mj; A. J. Parameswaran

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arXiv · 1503.08006

A splitting theorem for good complexifications

Indranil Biswas·Mahan Mj·A. J. Parameswaran

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Abstract

The purpose of this paper is to produce restrictions on fundamental groups of manifolds admitting good complexifications by proving the following Cheeger-Gromoll type splitting theorem: Any closed manifold $M$ admitting a good complexification has a finite-sheeted regular covering $M_1$ such that $M_1$ admits a fiber bundle structure with base $(S^1)^k$ and fiber $N$ that admits a good complexification and also has zero virtual first Betti number. We give several applications to manifolds of dimension at most 5.

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BibTeX RIS

Indranil Biswas, Mahan Mj, A. J. Parameswaran. 2015-03-27. A splitting theorem for good complexifications. https://arxiv.org/abs/1503.08006

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