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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

A note on harmonic maps of statistical manifolds

Fatma Muazzez Şimşir0000-0001-8205-8668
Sayfa
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Yayın Tarihi
2019-08-01
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We also show that due to dualistic structure of the domain manifold the result is still valid in dual coordinates.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We also show that due to dualistic structure of the domain manifold the result is still valid in dual coordinates.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical manifolds · dually flat structures · harmonic maps

Abstract

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.

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Bu Makaleye Atıf Yap

Şimşir, F. M. (2019). A note on harmonic maps of statistical manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.530449

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Kaynakça (10)

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  10. Shima, H., The Geometry of Hessian Structures, 13--32, World Scientific, 2007.