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TITLE On the Markus conjecture in convex case
KIAS AUTHORS Kim, Inkang
JOURNAL ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2021
ARCHIVE  
ABSTRACT In this paper, we show that any convex affine domain with a nonempty limit set 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 <= 5.
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