Art

J-GLOBAL ID：201902264332340049   Reference number：19A0492507

α-Connections and a Symmetric Cubic Form on a Riemannian Manifold

riemannian多様体上のα結合と対称立方形【JST・京大機械翻訳】

Author (1)： Uohashi Keiko (Department of Mechanical Engineering and Intelligent Systems, Faculty of Engineering, Tohoku Gakuin University, Tagajo, Miyagi 985-8537, Japan)
Material： Entropy (Web)
Volume： 19  Issue： 7  Page： 344  Publication year： 2017 
JST Material Number： U7179A  ISSN： 1099-4300  Document type： Article
Article type： 原著論文  Country of issue： Switzerland (CHE)  Language： ENGLISH (EN)

Abstract/Point： In this paper, we study the co...

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Thesaurus term： *manifold(mathematics) ,  *symmetry ,  tensor

Author keywords (5)： information geometry ,  statistical manifold ,  affine geometry ,  α-connection ,  conformal equivalence

JST classification (3)： Pattern recognition  (JE07000S) ,  Field theory in general  (BF01021K) ,  System and control theory in general  (IA02010H)

Reference (20)：

• Amari, S. Information Geometry and Its Applications; Springer: Tokyo, Japan, 2016.
• Okamoto, I.; Amari, S.; Takeuchi, K. Asymptotic theory of sequential estimation: Differential geometrical approach. Ann. Stat. 1991, 19, 961-981.
• Kurose, T. On the Divergence of 1-Conformally Flat Statistical Manifolds. Tôhoku Math. J. 1994, 46, 427-433.
• Nomizu, K.; Sasaki, T. Affine Differential Geometry: Geometry of Affine Immersions; Cambridge University Press: Cambridge, UK, 1994.
• Amari, S.; Nagaoka, H. Method of Information Geometry; American Mathematical Society: Providence, RI, USA, 2000.

Terms in the title (2)： 多様体 ,  対称