English

A new characterization of Calabi composition of hyperbolic affine hyperspheres

Differential Geometry 2014-01-07 v1

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 Z.J. Hu, H.Z. Li and L. Vrancken also gave a characterization of the 22-factor Calabi composition in a different manner.

Keywords

Cite

@article{arxiv.1401.0860,
  title  = {A new characterization of Calabi composition of hyperbolic affine hyperspheres},
  author = {Xingxiao Li},
  journal= {arXiv preprint arXiv:1401.0860},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1303.4278, arXiv:1310.5066