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Stable strictly convex bodies

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In this article, we nd a counter example which shows thatthe well-known necessary condition about the boundary regularity of a stable strictly convex body is not a sufficient condition.

Abstract

In this article, we nd a counter example which shows thatthe well-known necessary condition about the boundary regularity of a stable strictly convex body is not a sufficient condition.

참고문헌 (9)

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  3. W. M. Goldman, "Geometric structures on manifolds and varieties of representations", Contemp. Math, 74, pp.169~198 (1988)
  4. W. M. Goldman, "Projective Geometry on Manifolds", Lecture Notes (v.0.3)-Mathematics, 748B (1988)
  5. K. Jo, "Quasi-homogeneous domains and convex affine manifolds", Topology Appl, 134(2), pp.123~146 (2003)
  6. J. L. Koszul, "Deformation des connexions localement plats", Ann. Inst. Fourier, 18, pp.103~114 (1968)
  7. R. T. Rockafellar, "Second derivatives in convex analysis", Nonlinear analysis and convex analysis: Proceedings of the international conference on Niigata, pp.28~31 (1998)
  8. J. Vey, "Sur les automorphismes affines des ouverts convexes saillants", Ann. Scuola Norm. Sup. Pisa, 24(3), pp.641~665 (1970)
  9. E. B. Vinberg, "Quasi-homogeneous cones", Math. Notes, 1, pp.231~235 (1967)

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