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

Keywords

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  • EP ID EP275770
  • DOI -
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How To Cite

İsmet Ayhan (2018). Geodesics on the Momentum Phase Space with metric ^{{C}}{g}​Cg. Universal Journal of Mathematics and Applications (UJMA), 1(1), 61-67. https://europub.co.uk/articles/-A-275770