6 papers · 1 filter
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…
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…
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…
Structure of geodesics for Finsler metrics arising from Riemannian g.o. metrics
Teresa Arias-Marco, Zdenek Dusek
Homogeneous geodesics of homogeneous Finsler metrics derived from two or more Riemannian geodesic orbit metrics are investigated. For a broad newly defined family of positively rel…
Non-compact inaudibility of weak symmetry and commutativity via generalized Heisenberg groups
Teresa Arias-Marco, José Manuel Fernández-Barroso
Two Riemannian manifolds are said to be isospectral if there exists a unitary operator which intertwines their Laplace-Beltrami operator. In this paper, we prove in the non-compact…
Geodesic graphs for geodesic orbit Finsler metrics on spheres
Teresa Arias-Marco, Zdenek Dusek
Invariant geodesic orbit Finsler metrics which arise from Riemannian geodesic orbit metrics on spheres are determined. The relation of Riemannian geodesic graphs wi…