A New Characterization of Calabi Composition of Hyperbolic Affine Hyperspheres

被引：2
作者：
Li, Xingxiao [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2014年 / 66卷 / 1-2期
关键词：
Hyperbolic affine spheres; Calabi composition; characterization; reducibility of Riemannian manifolds; PARALLEL CUBIC FORM; HYPERSURFACES; CONJECTURE; SPHERES;
D O I：
10.1007/s00025-014-0369-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly prove a theorem with a corollary establishing two characterizations of the Calabi composition of hyperbolic hyperspheres, where the second characterization (i.e., the corollary) has been given via a dual correspondence theorem earlier but now we would like to use a very direct method. Note that Hu, Li and Vrancken also gave a characterization of the 2-factor Calabi composition in a different manner.
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收藏
页码：137 / 158
页数：22
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