关于常ф-曲率Sasaki统计流形的一些结果

Some results on Sasakian statistical manifolds of constant ф-curvature

研究了常ф-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ф-曲率都等于1。此外,还给出了几个Sasaki统计流形的例子。

The statistical immersion of codimension one from a Sasakian statistical manifold of constant ф-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 ф-curvature of the Sasakian statistical manifold must be one.Besides,several examples of Sasakian statistical manifolds are constructed.