Domains with flat boundary pieces

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Bull. Korean Math. Soc. 2016; 53(6): 1879-1886

Online first article September 22, 2016 Printed November 30, 2016

Kyeonghee Jo

Mokpo National Maritime University

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In this paper, we investigate domains having a flat piece in the boundary and find a sufficient condition for such a domain to be a cone.

Keywords: locally flat, cone, projective transformation

MSC numbers: 57S20, 57N16, 52A20, 32F45