Investigating the relationship between cosmic curvature and dark energy models with the latest supernova sample

We investigate the relationship between cosmic curvature and model of dark energy(hereafter DE)with recent TypeⅠa supernovae(hereafter SNeⅠa)data,i.e.,the Pantheon sample including 1048 SNeⅠa with 0.01<z<2.3.We obtain measurements of the dimensionless spatial curvature density today,i.e.,Ωk0=-0.062-0.169+0.189,-0.004-0.134+0.228,0.127-0.276+0.280 and 0.422-0.338+0.213 at 68%confidence level(CL),respectively,in the scenarios of ACDM,φCDM(i.e.,scalar field DE),ωCDM andω0ωaCDM models.In the scenario of ACDM model,a closed universe is preferred by the Pantheon sample,which is consistent with that from the Planck CMB spectra.However,the uncertainty of Qko 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^32%and^78%CLs,respectively,in theωCDM andω0ωaCDM models.Among these models,theφCDM model is the one which supports the flat universe most strongly.It shows that Qk0 is significantly dependent on the adopted model of DE,and there is a negative correlation betweenΩk0 and the equation of state of DE.