Toric dually flat manifolds and complex space forms
Differential Geometry
2023-09-22 v1
Abstract
We classify 1-dimensional connected dually flat manifolds that are toric in the sense of [Molitor, arXiv:2109.04839], and show that the corresponding torifications are complex space forms. Special emphasis is put on the case where M is an exponential family defined over a finite set.
Cite
@article{arxiv.2309.12123,
title = {Toric dually flat manifolds and complex space forms},
author = {Danuzia Figueirêdo and Mathieu Molitor},
journal= {arXiv preprint arXiv:2309.12123},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2305.09370, arXiv:2305.09708