ABSTRACT

Chapter 15

Maupertuis Principle and

Geodesic Equivalence

The classical Maupertuis principle, which states a connection between the tra-

jectories of a natural system and the geodesics of a certain Riemannian metric,

is discussed in many papers devoted to the calculus of variations and mechanics

[63], [101], [181], [196], [218], and [253].