A note on harmonic maps of statistical manifolds

Yıl 2019, Cilt: 68 Sayı: 2, 1370 - 1376, 01.08.2019

Fatma Muazzez Şimşir

https://doi.org/10.31801/cfsuasmas.530449

Cited By: 1

Öz

We show an existence and uniqueness result for a class of maps from a flat statistical manifold into a Riemannian manifold in a given homotopy class when the target Riemannian manifold is of negative sectional curvature under a global topological non-triviality condition. We also show that due to dualistic structure of the domain manifold the result is still valid in dual coordinates.

Anahtar Kelimeler

Statistical manifolds, dually flat structures, harmonic maps

Kaynakça

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