@article{article_396109, title={Geodesics on the Momentum Phase Space with metric $^{C }{g}$}, journal={Universal Journal of Mathematics and Applications}, volume={1}, pages={61–67}, year={2018}, DOI={10.32323/ujma.396109}, author={Ayhan, İsmet}, keywords={The Hamilton mechanic system,geodesics on the cotangent bundle,spacelike surface}, abstract={<p>In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations. Then, space like geodesics on pseudo hyperbolic 2-space $H_{1}^{2}$ are obtained. Finally, a system of the differential equations giving geodesics on the cotangent bundle with pseudo Riemann metric $^{C}g$ of $H_{1}^{2}$  is get. <br /> </p>}, number={1}, publisher={Emrah Evren KARA}