1 citations · 1 across the 9 of their papers we have counts for
12 papers
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…
Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider three different questions related to the Steklov and mixed Steklov problems on surfaces. These questions are connected by the techniques that we use to study them, whic…
Spectral geometry of the Steklov problem on orbifolds
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider how the geometry and topology of a compact -dimensional Riemannian orbifold with boundary relates to its Steklov spectrum. In two dimensions, motivated by work of A.…
Inaudibility of sixth order curvature invariants
Teresa Arias-Marco, Dorothee Schueth
It is known that the spectrum of the Laplace operator on functions of a closed Riemannian manifold does not determine the integrals of the individual fourth order curvature invaria…
D'atri spaces of type k and related classes of geometries concerning jacobi operators
Teresa Arias-Marco, Maria J. Druetta
In this article we continue the study of the geometry of -D'Atri spaces, ( denotes the dimension of the manifold) began by the second author. It is…
Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres
Teresa Arias-Marco, Dorothee Schueth
We show that in any harmonic space, the eigenvalue spectra of the Laplace operator on small geodesic spheres around a given point determine the norm of the covariant d…
Constant Jacobi osculating rank of - Appendix -
Teresa Arias-Marco
This is the appendix of the paper [T. Arias-Marco, Constant Jacobi osculating rank of , Arch. Math. (Brno) 45 (2009), 241--254] where we obtain…