2013/10/18 by Xingxiao Li, Li Xingxiao, Xingxiao, Li · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Commutative Algebra and Its Applications #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.1310.5066
arXiv admin note: text overlap with arXiv:1303.4278
arxiv created 2013/10/18 · openalex publication_date 2013/10/18 · arxiv updated 2013/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we explicitly construct the Calabi composition of multiple affine hyperspheres possibly including some points viewing as 0-dimensional hypersheres. Then we compute all the basic affine invariants of the composed affine hyperspheres, proving that the composed affine hypersphere is symmetric one if and only if each of its composing factors of positive dimension is symmetric.