Geodesics As Hamiltonian Flows
In mathematics, the geodesic equations are second-order non-linear differential equations, and are commonly presented in the form of Euler–Lagrange equations of motion. However, they can also be presented as a set of coupled first-order equations, in the form of Hamilton's equations. This latter formulation is developed in this article.
Read more about Geodesics As Hamiltonian Flows: Overview, Geodesics As An Application of The Principle of Least Action, Hamiltonian Approach To The Geodesic Equations
Famous quotes containing the word flows:
“No country is so peaceful as the one that leads into death. Life arches above one’s head like a bridgespan, and below it flows the water, carries the boat, takes it further.”
—Alfred Döblin (1878–1957)