A rigidity result for domains with a locally strictly convex point

Autor:	Kyeonghee Jo
Rok vydání:	2008
Předmět:	Convex analysis Strictly convex space Mathematical analysis Rigidity (psychology) Point (geometry) Geometry and Topology Convex function Ellipsoid Mathematics
Zdroj:	advg. 8:315-328
ISSN:	1615-7168 1615-715X
DOI:	10.1515/advgeom.2008.020
Popis:	In this article, we investigate projective domains with a strictly convex point in the boundary and their automorphisms. We prove that ellipsoids can be characterized as follows: A domain Ω is an ellipsoid if and only if ∂Ω is locally strongly convex at some boundary point where an Aut(Ω)-orbit accumulates. We also show that every quasi-homogeneous projective domain in an affine space which is locally strictly convex at a boundary point, is the universal covering of a closed projective manifold.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::90dcfe6e1f5186ffd3288e8abbc6dfbd https://doi.org/10.1515/advgeom.2008.020 Zobrazit plný text záznamu