hi my friends ı have some questions for you;

1.The standart curvature tensor R,for the unit sphere is parallel.

2.$\displaystyle \kappa_\sigma$ depends only a $\displaystyle \sigma$(not on generators)

3.a)if if n=2,then every metric is an Einstein metric(HİNT:$\displaystyle R=K.R_1$)

b)Spaces of constant curvature are all EİNSTEİN spaces(HİNT:same reason)