Does modifying the geodesic Lagrangian $L$ with a smooth function $f(L)$ give the same geodesic curves as solutions?
68813
Geodesic Equation from variation: Is the squared lagrangian equivalent?
69120
geodesic computation: "energy" minimization versus arc length minimization
40355
Equivalence between Hamiltonian and Lagrangian Mechanics
146853
Do we need inertial frames in Lagrangian mechanics?
126390
Covariance of Euler-Lagrange equations under change of generalized coordinates
37840
Does the Levi-Civita connection determine the metric?
91314
Advantages of Lagrangian Mechanics over Newtonian Mechanics
112073
What does a Lagrangian of the form $L=m^2\dot x^4 +U(x)\dot x^2 -W(x)$ represent?
142892
Lagrangian Mechanics - Commutativity Rule $\frac{d}{dt}\delta q=\delta \frac{dq}{dt} $
128862
Prove no existing a smooth function satisfying ... related to Morse Theory
155913
Lagrangian for free particle in special relativity
118096
If $f^2$ and $f^3$ are smooth, does it follow that $f$ is smooth?
84389
Topologist's Sine Curve not a regular submanifold of $\mathbb{R^2}$?
67357
Geodesics equations via variational principle
137569
Generalising a Dirac Delta function formula in General Relativity
17154
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
73045
Transitioning between Lagrangian and Eulerian fluid variables