关于常φ -曲率Sasaki统计流形的一些结果

doi:10.6040/j.issn.1671-9352.0.2020.464

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (4): 86-93.doi: 10.6040/j.issn.1671-9352.0.2020.464

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关于常φ -曲率Sasaki统计流形的一些结果

吴凤,张量^*

安徽师范大学数学与统计学院, 安徽芜湖 241000

发布日期:2021-04-13
作者简介:吴凤(1995— ),女,硕士研究生,研究方向为微分几何. E-mail:2251749932@qq.com*通信作者简介:张量(1979— ),男, 硕士,副教授,研究方向为微分几何. E-mail:zhliang43@163.com
基金资助:
安徽师范大学博士启动基金资助项目(751841)

Some results on Sasakian statistical manifolds of constant φ -curvature

WU Feng, ZHANG Liang^*

School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, Anhui, China

Published:2021-04-13

摘要/Abstract

摘要： 研究了常φ -曲率的Sasaki统计流形和常曲率统计流形之间两种余维数为1的统计浸入,并证明这两种情况下的Sasaki统计流形的常φ -曲率都等于1。此外,还给出了几个Sasaki统计流形的例子。

关键词: Sasaki统计流形, 常φ, -曲率, 统计超曲面

Abstract: The statistical immersion of codimension one from a Sasakian statistical manifold of constant φ -curvature to a statistical manifold of constant curvature and its converse are studied in this paper. It can be proved that in both cases the constant φ -curvature of the Sasakian statistical manifold must be one. Besides, several examples of Sasakian statistical manifolds are constructed.

Key words: Sasakian statistical manifold, constant φ, -curvature, statistical hypersurface

中图分类号:

O186.12

吴凤,张量. 关于常φ -曲率Sasaki统计流形的一些结果[J]. 《山东大学学报(理学版)》, 2021, 56(4): 86-93.

WU Feng, ZHANG Liang. Some results on Sasakian statistical manifolds of constant φ -curvature[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(4): 86-93.

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关于常φ -曲率Sasaki统计流形的一些结果

Some results on Sasakian statistical manifolds of constant φ -curvature

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