论文标题

信息几何形状的Frobenius歧管的符号和泊松几何形状

Symplectic and Poisson geometry of the information geometry's Frobenius manifold

论文作者

Combe, Noemie, Combe, Philippe, Nencka, Hanna

论文摘要

我们证明,信息几何形状的Frobenius歧管是具有泊松结构的符号歧管。通过证明这一说法,可以在Vinberg,Souriau和Koszul和Frobenius歧管方法开发的理论之间创建桥梁。到目前为止,这些方法似乎已经断开连接。

We prove that the information geometry's Frobenius manifold is a symplectic manifold having Poisson structures. By proving this statement, a bridge is created between the theories developed by Vinberg, Souriau and Koszul and the Frobenius manifold approach. Until now these approaches seemed disconnected.

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