We study the behavior of maximal geodesics outside a sufficiently large compact set in a finitely connected, complete and noncompact 2-dimensional Riemannian manifold (possibly with boundary). One of our main results states that if the total curvature of [italic]M exists and is …
A sub-Riemannian manifold ([italic capitals]M, E, G) consists of a finite-dimensional manifold [italic capital]M, a rank-two bracket generating distribution [italic capital]E on [italic capital]M, and a Riemannian metric [italic capital]G on [italic capital]E. All length-minimiz…
Annotation The purpose of these lecture notes is to provide an introduction to the theory of complex MongeAmpère operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kähler manifolds (with or without boundary).These operators are…
