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20212025
most citedOn the ergodicity of the frame flow on even-dimensional manifolds

4 citations · 12 across the 10 of their papers we have counts for

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math.DS2025

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…

math.DS2022★ 1 cited

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…

math.DS2022★ 2 cited

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…

math.DS2022★ 3 cited

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…

math.DS2021★ 4 cited

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…