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

Year 2018, Volume: 1 Issue: 1, 61 - 67, 11.03.2018

İsmet Ayhan

https://doi.org/10.32323/ujma.396109

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

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