3 papers
math.DG2025
Non-compact inaudibility of Naturally Reductive property
Teresa Arias-Marco, José-Manuel Fernández-Barroso
Naturally reductive manifolds are an important class of Riemannian manifolds because they provide examples that generalize the locally symmetric ones. A property is said to be inau…
math.DG2025
The natural reductivity in Finsler geometry in terms of geodesic graphs
Teresa Arias-Marco, Zdenek Dusek
A new geometrical definition of naturally reductive Finsler manifold using geodeic graph is proposed, with a possible generalization. Based on a construction from a recent paper by…
math.DG2025
Inaudibility of naturally reductive property
Teresa Arias-Marco, José-Manuel Fernández-Barroso
In this paper, we use a characterization of naturally reductive 2-step nilponent Lie groups via Ambrose-Singer's homogeneous structures to prove that one cannot determine if a clos…