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A New Characterization of Calabi Composition of Hyperbolic Affine Hyperspheres

Research paper by Xingxiao Li

Indexed on: 13 Feb '14Published on: 13 Feb '14Published in: Results in Mathematics



Abstract

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.