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arXiv · 2309.12123

Toric dually flat manifolds and complex space forms

Danuzia Figueirêdo·Mathieu Molitor
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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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Danuzia Figueirêdo, Mathieu Molitor. 2023-09-21. Toric dually flat manifolds and complex space forms. https://arxiv.org/abs/2309.12123

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