Toric dually flat manifolds and complex space forms

Published 21 Sep 2023 in math.DG | (2309.12123v1)

Abstract: We classify 1-dimensional connected dually flat manifolds $M$ 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.

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