Constraining the curvature density parameter in cosmology

The cosmic curvature density parameter has been constrained in the present work independent of any background cosmological model. reconstruction is performed adopting non-parametric Gaussian Processes (GP). constraints on $\Omega_{k0}$ are obtained via a Markov Chain Monte Carlo (MCMC) analysis. Late-time probes viz., Supernova (SN) distance modulus data, Cosmic Chronometer (CC) and radial Baryon Acoustic Oscillations ($r$BAO) measurements Hubble data have utilized for this purpose. results further combined with from redshift space distortions (RSD) which studies growth large scale structure universe. only \textit{a priori} assumption that universe homogeneous isotropic, described by FLRW metric. Results indicate spatially flat well consistent 2$\sigma$ within domain $0<z<2$ data. On combining RSD we find spatial flatness mostly always 3$\sigma$ $0<z<2$.