2 papers
math.DS2014
Morse Theory for geodesics in singular conformal metrics
R. Giambò, F. Giannoni, P. Piccione
Motivated by the use of degenerate Jacobi metrics for the study of brake orbits and homoclinics, we develop a Morse theory for geodesics in conformal metrics having conformal facto…
math.DS2012
Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert
R. Giambò, F. Giannoni, P. Piccione
In this paper we prove the existence of real-analytic natural Hamiltonian systems - i.e. where H(q,p)=T(q,p)+V(q) in the 2N-dimensional real space, where N is any integer greater t…