We investigate the relationship between the cosmic curvature and the model of dark energy ( hereafter DE ) with the recent Type Ia supernovae ( hereafter SNe Ia ) data , i.e. , the Pantheon sample including 1048 SNe Ia with 0.01 < z < 2.3 .
We obtain the measurements of the dimensionless spatial curvature density today , i.e. , \Omega _ { k 0 } = -0.062 ^ { +0.189 } _ { -0.169 } , -0.004 ^ { +0.228 } _ { -0.134 } , 0.127 ^ { +0.280 } _ { % -0.276 } and 0.422 ^ { +0.213 } _ { -0.338 } at 68 % confidence level ( CL ) , respectively , in the scenarios of \Lambda CDM , \phi CDM ( i.e. , scalar field dark energy ) , \omega CDM and \omega _ { 0 } \omega _ { a } CDM models .
In the scenario of \Lambda CDM model , a closed universe is preferred by the Pantheon sample , which is consistent with that from the Planck CMB spectra .
However , the uncertainty of \Omega _ { k 0 } from the Pantheon SNe sample is about 8 times larger than that from the Planck data , so the former one supports a closed universe at a much lower CL than that from the latter one .
An open unverse is supported by the Pantheon sample at \sim 32 % and \sim 78 % CLs , respectively , in the \omega CDM and \omega _ { 0 } \omega _ { a } CDM models .
Among these models , the \phi CDM model is the one which supports the flat universe most strongly .
It shows that \Omega _ { k 0 } is significantly dependent on the adopted model of dark energy , and there is a negative correlation between \Omega _ { k 0 } and the equation of state of DE .