Proof of Chern conjecture for flat affine manifolds

Mihail Cocos

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arXiv · 1504.04852

Proof of Chern conjecture for flat affine manifolds

Mihail Cocos

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Abstract

We prove Chern conjecture, which states that the Euler characteristic vanishes for closed flat affine manifolds. Our key innovation is a deformation argument for the Euler form.

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Mihail Cocos. 2015-04-19. Proof of Chern conjecture for flat affine manifolds. https://arxiv.org/abs/1504.04852

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