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Most of domains people have studied are convex bounded
projective (or affine) domains. Edith Socie-Methou [15] characterized ellipsoid
in Rn by studying projective automorphism of convex body. In
this paper, we showed convex and bounded projective domains can be
identified from local data of their boundary points using scaling technique
developed by several mathematicians. It can be found that how the scaling
technique combined with properties of projective transformations is
used to do that for a projective domain given local data around singular
boundary point. Furthermore, we identify even unbounded or non-convex
projective domains from its local data about a boundary point
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참고문헌 (18)
참고문헌 신청
B. Colbois / 2002 / Rigidity of Hilbert metrics / Bulletin of the Australian Mathematical Society 65 (1) : 23 ~ 34
C. W. Yi / / Projective domains with non-compact automorphism groups II, preprint
E. B. Vinberg / 1967 / Quasi-homogeneous cones / Mathematical Notes 1 (3) : 231 ~ 235
E. Bedford / 1988 / Domains in C2 with noncompact groups of holomorphic automorphisms / mathematics of the USSR-Sbornik (N.S.) 135 (2) : 147 ~ 157
E. Bedford / 1991 / Domains in Cn+1 with noncompact automorphism group / Journal of Geometric Analysis 1 (3) : 165 ~ 191
C. W. Yi / / Projective domains with non-compact automorphism groups II, preprint
E. B. Vinberg / 1967 / Quasi-homogeneous cones / Mathematical Notes 1 (3) : 231 ~ 235
E. Bedford / 1988 / Domains in C2 with noncompact groups of holomorphic automorphisms / mathematics of the USSR-Sbornik (N.S.) 135 (2) : 147 ~ 157
E. Bedford / 1991 / Domains in Cn+1 with noncompact automorphism group / Journal of Geometric Analysis 1 (3) : 165 ~ 191
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