3 papers
math.DG2026
Subdifferential theory and the Fenchel conjugate via Busemann functions on Hadamard manifolds
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
In this paper, we propose a notion of subdifferential defined via Busemann functions and use it to identify a condition under which the Fenchel-Young inequality of Bento, Cruz Neto…
math.OC2021
Elements of Convex Geometry in Hadamard Manifolds with Application to Equilibrium Problems
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
In this paper, is introduced a new proposal of resolvent for equilibrium problems in terms of the Busemann's function. A great advantage of this new proposal is that, in addition t…
math.DS2018
Contributions to the study of Anosov Geodesic Flows in Non-Compact Manifolds
Ítalo Melo, Sergio Romaña
In this paper we prove that if the geodesic flow of a {compact or non-compact} complete manifold without conjugate points is of the Anosov type, then the average of the integral of…