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Title: 統計多様体の部分多様体論
Authors: 古畑, 仁 Browse this author
Issue Date: Sep-2021
Publisher: 日本数学会
Journal Title: 日本数学会2021年度秋季総合分科会幾何学分科会講演アブストラクト
Abstract: A statistical manifold is a Riemannian manifold endowed with a torsion-free affine connection satisfying the Codazzi equation. The submanifold theory in such a space is now developing. The words “ statistical submanifold ” can be found in the late 1980s in the context of statistical inference or information geometry. We will here introduce recent differential geometric researches in this field, for example, the counterpart of the Chen inequality in the Riemannian submanifold theory.
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Conference Name: 日本数学会2021年度秋季総合分科会
Conference Place: 千葉市
Relation: 日本数学会2021年度秋季総合分科会幾何学分科会講演アブストラクト,2021年9月14日~17日, 千葉大学理学部(オンライン開催)
Type: proceedings
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 古畑 仁

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