Geodesics on the Momentum Phase Space with metric ^{{C}}{g}Cg
Journal Title: Universal Journal of Mathematics and Applications (UJMA) - Year 2018, Vol 1, Issue 1
Abstract
In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric ^{C}g 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}H 1 2 are obtained. Finally, a system of the differential equations giving geodesics on the cotangent bundle with pseudo Riemann metric ^{C}g C g of H_{1}^{2}H 1 2 is get.
Authors and Affiliations
İsmet Ayhan
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