Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DOMAINS WITH FLAT BOUNDARY PIECES

  • Jo, Kyeonghee (Division of Liberal Arts and sciences Mokpo National Maritime University)
  • Received : 2015.12.28
  • Published : 2016.11.30
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Abstract

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.

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References

  1. J. P. Benzecri, Sur les varietes localement affines et projectives, Bull. Soc. Math. France 88 (1960), 229-332.
  2. K. Jo, Quasi-homogeneous domains and convex affine manifolds, Topology Appl. 134 (2003), no. 2, 123-146. https://doi.org/10.1016/S0166-8641(03)00106-8
  3. K. Jo, A characterization of convex cones, Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 10, 175-178. https://doi.org/10.3792/pjaa.84.175
  4. K. Jo, A rigidity result for domains with a locally strictly convex point, Adv. Geom. 8 (2008), no. 3, 315-328. https://doi.org/10.1515/ADVGEOM.2008.02