2024-03-28T18:45:50Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/828632022-11-17T02:08:08Zhdl_2115_20039hdl_2115_116統計多様体の部分多様体論古畑, 仁414A 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.日本数学会Conference Paperapplication/pdfhttp://hdl.handle.net/2115/82863https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/82863/1/furuhata_msj_abst21sept_03_95.pdf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2021-09jpn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)publisher