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4 papers
Three isometrically equivalent models of the Finsler-Poincaré disk
Ágnes Mester, Alexandru Kristály
We present the isometry between the 2-dimensional Funk model and the Finsler-Poincaré disk. Then, we introduce the Finslerian Poincaré upper half plane model, which turns out to be…
A bipolar Hardy inequality on Finsler manifolds
Ágnes Mester, Alexandru Kristály
We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure…
Poincaré's lemma on some non-Euclidean structures
Alexandru Kristály
In this paper we prove the Poincaré lemma on some -dimensional corank 1 sub-Riemannian structures, formulating the necessarily and sufficiently 'cur…
Singular Poisson equations on Finsler-Hadamard manifolds
Csaba Farkas, Alexandru Kristály, Csaba Varga
In the first part of the paper we study the reflexivity of Sobolev spaces on non-compact and not necessarily reversible Finsler manifolds. Then, by using direct methods in the calc…