Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the…
"The first half of the book contains an exposition of Riemannian geometry based on Koszul's axiom for an affine connection. The presentation is modeled after the treatment in S. Helgason's book, Differential Geometry and Symmetric Spaces, Academic Press, 1982. The second half de…
In this paper we study the geodesics and ends of compact surfaces satisfying the "uniform visibility" axiom. We are primarily though not exclusively interested in finitely connected surfaces, which topologically are compact Riemann surfaces with a finite number of punctures.
