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math.DG2016
A Divergence Theorem for non-Compact Riemannian Manifolds: a Dynamical Approach
Ítalo Melo, Enrique Pujals
In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.
math.DG2016
Convexity and some geometric properties
J. X. Cruz Neto, Ítalo Melo, Paulo Sousa
The main goal of this paper is to present results of existence and non-existence of convex functions on Riemannian manifolds and, in the case of the existence, we associate such fu…
math.DS2016
On -Weakly Hyperbolic Iterated Function Systems
Ítalo Melo
In this paper we will consider the concept of -weakly hyperbolic iterated function systems on compact metric spaces that generalizes the concept of weakly hyperbolic it…