An Extremal Class of Three-Dimensional Hyperbolic Affine Spheres

被引：0
|
作者：
Marcus Kriele
Luc Vrancken
机构：
[1] Katholieke Universiteit Leuven,Departement Wiskunde
[2] Technische Universität Berlin,Fachbereich Mathematik
来源：
Geometriae Dedicata | 1999年 / 77卷
关键词：
affine differential geometry; affine hyperspheres.;
D O I：
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学科分类号：
摘要：
In analogy to an inequality of Chen [2], Scharlach and co-workers [7] have found a new, optimal inequality for (equi-) affine spheres. We classify those three-dimensional hyperbolic affine spheres for which the corresponding equality is assumed. This complements the classification of the elliptic case [3].
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页码：239 / 252
页数：13
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