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A New Characterization of Calabi Composition of Hyperbolic Affine Hyperspheres

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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.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Henan Normal University, Xinxiang, 453007, China

    Xingxiao Li

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  1. Xingxiao Li
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Correspondence to Xingxiao Li.

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Research supported by NSFC (No. 11171091, 11371018) and partially supported by NSF of Henan Province (No. 132300410141).

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Li, X. A New Characterization of Calabi Composition of Hyperbolic Affine Hyperspheres. Results. Math. 66, 137–158 (2014). https://doi.org/10.1007/s00025-014-0369-3

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