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20162026
most citedRiemannian manifolds with Anosov geodesic flow do not have conjugate points

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math.OC2026

Subgradient Methods on Manifolds with Lower Bounded Curvature

G. C. Bento, J. X. Cruz Neto, J. O. Lopes +1

The subgradient method is a classical and foundational approach in non-smooth convex optimization; its simplicity, robustness, and role as a conceptual and algorithmic starting poi…

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…