Curvatures of semi-symmetric metric connections on statistical manifolds

DOI10.4134/CKMS.c200001zbMath1471.53014OpenAlexW3132992234MaRDI QIDQ5003108

Mohammad Bagher Kazemi Balgeshir, Shiva Salahvarzi

Publication date: 29 July 2021

Full work available at URL: https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002679984

zbMATH Keywords

curvature tensorstatistical manifoldsGaussCodazzi equationssemi-symmetric connectionRicci

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Local submanifolds (53B25) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Related Items (1)

Semi-symmetric non-metric connections on statistical manifolds

Cites Work

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• Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
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• Riemannian manifolds with a semi-symmetric metric connection satisfying some semisymmetry conditions
• Geometric Modeling in Probability and Statistics
• On a type of semisymmetric metric connection on a Riemannian manifold
• ON A SEMI-SYMMETRIC METRIC CONNECTION IN AN (ε)-KENMOTSU MANIFOLD

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