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math.DG2024
A geometric application of Lagrange multipliers: extremal compatible linear connections
Csaba Vincze, Márk Oláh
The Lévi-Civita connection of a Riemannian manifold is a metric (compatible) linear connection, uniquely determined by its vanishing torsion. It is extremal in the sense that it ha…
math.DG2024
On locally symmetric polynomial metrics: Riemannian and Finslerian surfaces
Csaba Vincze, Márk Oláh, Ábris Nagy
In the paper we investigate locally symmetric polynomial metrics in special cases of Riemannian and Finslerian surfaces. The Riemannian case will be presented by a collection of ba…