Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 1999; 36(1): 203-207

Printed March 1, 1999

Copyright © The Korean Mathematical Society.

Invariant open sets under cocompact affine actions

Kyeongsu Park

Jeonju University

Abstract

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In this paper, we find a condition on an open subset of the affine space which admits a cocompact affine action. To do it, the asymptotic flag of an open convex subset is introduced and some applications to affine manifolds are presented.

Keywords: affine manifold, asymptotic flag, convex subset

MSC numbers: 53C15

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