%0 Journal Article %T Study of Baryon Acoustic Oscillations with SDSS DR13 Data and Measurements of &Omega;<sub>k</sub> and &Omega;<sub>DE</sub>(a) %A B. Hoeneisen %J International Journal of Astronomy and Astrophysics %P 11-27 %@ 2161-4725 %D 2017 %I Scientific Research Publishing %R 10.4236/ijaa.2017.71002 %X We measure the baryon acoustic oscillation (BAO) observables \"\", \"\", and\"\" as a function of red shift z in the range 0.1 to 0.7 with Sloan Digital Sky Survey (SDSS) data release DR13. These observables are independent and satisfy a consistency relation that provides discrimination against miss-fits due to background fluctuations. From these measurements and the correlation angle \"\" of fluctuations of the Cosmic Microwave Background (CMB), we obtain \"\", \"\" and \"\"for dark energy density allowed to vary as \"\". We present measurements of \"\" at six values of the expansion parameter a. Fits with several scenarios and data sets are presented. The data is consistent with space curvature parameter \"\" and \"\" constant. %K Cosmology %K Dark Energy %K Baryon Acoustic Oscillations %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=73973