4 citations · 12 across the 10 of their papers we have counts for
10 papers
Quasi-Fuchsian flows and the coupled vortex equations
Mihajlo Cekić, Gabriel P. Paternain
We provide an alternative construction of the quasi-Fuchsian flows introduced by Ghys in \cite{Ghys-92}. Our approach is based on the coupled vortex equations that allows to see th…
Magnetic Steklov problem on surfaces
Mihajlo Cekić, Anna Siffert
The magnetic Dirichlet-to-Neumann map encodes the voltage-to-current measurements under the influence of a magnetic field. In the case of surfaces, we provide precise spectral asym…
Semiclassical analysis on principal bundles
Mihajlo Cekić, Thibault Lefeuvre
Let be a compact Lie group. We introduce a semiclassical framework, called Borel-Weil calculus, to investigate -equivariant (pseudo)differential operators acting on -prin…
Calderón problem for systems via complex parallel transport
Mihajlo Cekić
We consider the Calderón problem for systems with unknown zeroth and first order terms, and improve on previously known results. More precisely, let be a compact Riemannia…
Correspondence between Pestov and Weitzenböck identities
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
The aim of this note is to establish the correspondence between the twisted localized Pestov identity on the unit tangent bundle of a Riemannian manifold and the Weitzenböck identi…
Resonant forms at zero for dissipative Anosov flows
Mihajlo Cekić, Gabriel P. Paternain
We study resonant differential forms at zero for transitive Anosov flows on -manifolds. We pay particular attention to the dissipative case, that is, Anosov flows that do not pr…
Isospectral connections, ergodicity of frame flows, and polynomial maps between spheres
Mihajlo Cekić, Thibault Lefeuvre
We show that on closed negatively curved Riemannian manifolds with simple length spectrum, the spectrum of the Bochner Laplacian determines both the isomorphism class of the vector…
Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to…
Local lens rigidity for manifolds of Anosov type
Mihajlo Cekić, Colin Guillarmou, Thibault Lefeuvre
The lens data of a Riemannian manifold with boundary is the collection of lengths of geodesics with endpoints on the boundary together with their incoming and outgoing vectors. We…
On the ergodicity of the frame flow on even-dimensional manifolds
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
It is known that the frame flow on a closed -dimensional Riemannian manifold with negative sectional curvature is ergodic if is odd and . In this paper we study it…