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math.DG2026
Busemann-coupling subdifferentials and Fenchel biconjugation on Hadamard manifolds
G. C. Bento, J. X. Cruz Neto, I. D. L. Melo
We introduce an intrinsic subdifferential on Hadamard manifolds induced by a base-point-dependent Busemann coupling, motivated by the scarcity of nonconstant affine functions on no…
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…