Bartolo, Rossella; Germinario, Anna; Sánchez, Miguel Convexity of domains of Riemannian manifolds. (English) Zbl 0995.58009 Ann. Global Anal. Geom. 21, No. 1, 63-83 (2002). Different concepts of convexity on a Riemannian manifold are discussed with respect to the geodesic structure and the completeness. Some comments related to the trajectories of Lagrangian systems are also given. Reviewer: Dumitru Motreanu (Perpignan) Cited in 1 ReviewCited in 15 Documents MSC: 58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable) 53C22 Geodesics in global differential geometry 53C20 Global Riemannian geometry, including pinching Keywords:boundary; convexity; geodesic; Riemannian manifold; completeness; trajectories of Lagrangian systems PDFBibTeX XMLCite \textit{R. Bartolo} et al., Ann. Global Anal. Geom. 21, No. 1, 63--83 (2002; Zbl 0995.58009) Full Text: DOI arXiv