On some generalization of special affine hyperspheres
Volume 149 / 2017
Colloquium Mathematicum 149 (2017), 239-256
MSC: Primary 53A15; Secondary 53D15.
DOI: 10.4064/cm6815-10-2016
Published online: 8 June 2017
Abstract
We generalize the notion of special affine hypersphere. We study basic properties of such hyperspheres and give several examples. We also give a method of constructing higher-dimensional special hyperspheres using lower-dimensional examples.