CALABI-TYPE COMPOSITION OF AFFINE SPHERES

被引：49
作者：
DILLEN, F
VRANCKEN, L
机构：
[1] NATL FUND SCI RES,BRUSSELS,BELGIUM
[2] KATHOLIEKE UNIV LEUVEN,DEPT WISKUNDE,B-3001 LOUVAIN,BELGIUM
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1994年 / 4卷 / 04期
关键词：
AFFINE SPHERES; NONDEGENERATE HYPERSURFACES; LOCALLY HOMOGENEOUS;
D O I：
10.1016/0926-2245(94)90002-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give several ways of constructing new nondegenerate affine hypersurfaces in R(n+1) starting from some given proper or improper affine spheres. The resulting hypersurfaces can be forced to have nice properties, if the original affine spheres are chosen appropriately. In this way we obtain new examples of nondegenerate locally homogeneous affine hypersurfaces and of proper and improper affine spheres. We also discuss the properties of the affine metric of the hypersurface, such as the curvature or completeness. Finally we discuss the relation with projective transformations.
引用
收藏
页码：303 / 328
页数：26
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