It has been shown that the stability of ideal quantum gases can be measured by means of the Riemannian scalar curvature R of the parameter space. Also, it was shown that the components of the metric tensor can assumed to be the second moments of energy or entropy. So we can manufacture two metrics. In 1984 mrugala and salmon et al. proved that these two metrics are conformally equivalent with the inverse of the temperature as the conformal factor. By means of the calculation of scalar curvature R some authors have shown that For bosons R is positive and increase monotonically from zero at the left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: rtl" dir=rtl align=right Lately, the thermodynamic curvature of a two-dimensional ideal anyon gas of particles which obeying fractional statistics was derived. They explored the statistical interaction of anyon gas, and they derived that for attractive statistical interactions, thermodynamic curvature is positive and for repulsive statistical interactions, it is negative, wich indicates the more stable anyon gas, and there was a special case between the two where the thermodynamic curvature is zero. In this thesis, we derive the thermodynamic curvature of a N-Dimensional ideal g-on gas and anyon gas of particles obeying fractional statistics, at some correction on energy and without correction in energy, in left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: rtl" dir=rtl align=right Key words Ideal quantum gas, Fermi gas, Bose gas, Anyon gas, G-On gas, Thermodynamic Curvature