On the Markus conjecture in convex case

Kyeonghee Jo; Inkang Kim

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arXiv · 1809.07918

On the Markus conjecture in convex case

Kyeonghee Jo·Inkang Kim

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Abstract

In this paper, we show that any convex affine domain with a nonempty limit sets on the boundary under the action of the identity component of the automorphism group cannot cover a compact affine manifold with a parallel volume, which is a positive answer to the Markus conjecture for convex case. Consequently, we show that the Markus conjecture is true for convex affine manifolds of dimension $\leq 5$.

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BibTeX RIS

Kyeonghee Jo, Inkang Kim. 2018-09-21. On the Markus conjecture in convex case. https://arxiv.org/abs/1809.07918

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