[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.5.1221

PROJECTIVE DOMAINS WITH NON-COMPACT AUTOMORPHISM GROUPS I

Yi, Chang-Woo (Department of Mathematical Sciences Seoul National University)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.5, 2008 , pp. 1221-1241 More about this Journal

Abstract

Most of domains people have studied are convex bounded projective (or affine) domains. Edith $Soci{\acute{e}}$ - $M{\acute{e}}thou$ [15] characterized ellipsoid in ${\mathbb{R}}^n$ 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.

Keywords

quadratic; projective domains; automorphism; ellipsoid; scaling sequence; unbounded domains;

Citations & Related Records

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