Remark on the Helly number for strongly convex sets on Riemannian manifolds

On the number of solutions for the two-p

On the number of solutions for the two-point boundary value problem on Riemannian manifolds

✍ Antonio Masiello; Paolo Piccione 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 190 KB

We study the solutions joining two fixed points of a time-independent dynamical system on a Riemannian manifold (M, g) from an enumerative point of view. We prove a finiteness result for solutions joining two points p, q ∈ M that are non-conjugate in a suitable sense, under the assumption that (M, g