Statistical submanifolds from a viewpoint of the Euler inequality

Statistical submanifolds from a viewpoint of the Euler inequality
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DOI：
10.1007/s41884-020-00032-4
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发表时间：
2020-09
期刊：
Information Geometry
影响因子：
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通讯作者：
Naoto Satoh;H. Furuhata;I. Hasegawa;Toshiyuki Nakane;Yuki Okuyama;Kimitake Sato;M. Shahid;A. Siddiqui
Naoto Satoh;H. Furuhata;I. Hasegawa;Toshiyuki Nakane;Yuki Okuyama;Kimitake Sato;M. Shahid;A. Siddiqui
中科院分区：
其他
文献类型：
--
作者：
Naoto Satoh;H. Furuhata;I. Hasegawa;Toshiyuki Nakane;Yuki Okuyama;Kimitake Sato;M. Shahid;A. Siddiqui

文献摘要

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我们推广了统计子流形上的欧拉不等式。给出了翘积空间中双自平行统计子流形的几个基本例子，它们的等价性在每一点都成立。此外，还刻画了双全脐子流形。
We generalize the Euler inequality for statistical submanifolds. Several basic examples of doubly autoparallel statistical submanifolds in warped product spaces are described, for which the equality holds at each point. Besides, doubly totally-umbilical submanifolds are also illustrated.