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math.CA2025
An application of Brouwer's fixed-point theorem: continuously differentiable convex functions with gradient of constant norm
Csaba Vincze
As an application of Brouwer's fixed-point theorem we prove that a continuously differentiable convex function with gradient of constant norm is an affine mapping. It is a first-or…
math.DG2025
Randers metrics with compatible linear connections: a coordinate-free approach
Márk Oláh, Csaba Vincze
A Randers space is a differentiable manifold equipped with a Randers metric. It is the sum of a Riemannian metric and a one-form on the base manifold. The compatibility of a linear…