Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$

Authors : Ismet Ayhan

Pages : 61-67

Doi:10.32323/ujma.396109

View : 17 | Download : 11

Publication Date : 2018-03-11

Article Type : Research

Abstract :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.
Keywords : The Hamilton mechanic system, geodesics on the cotangent bundle, spacelike surface