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Domains with flat boundary pieces

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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.

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.

참고문헌 (4)

  1. J. P. Benzecri, "Sur les vari´et´es localement affines et projectives", Bull. Soc. Math. France, 88, pp.229~332 (1960)
  2. K. Jo, "Quasi-homogeneous domains and convex affine manifolds", Topology Appl, 134(2), pp.123~146 (2003)
  3. K. Jo, "A characterization of convex cones", Proc. Japan Acad. Ser. A Math. Sci, 84(10), pp.175~178 (2008)
  4. K. Jo, "A rigidity result for domains with a locally strictly convex point", Adv. Geom, 8(3), pp.315~328 (2008)

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