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math.DS2023★ 4 cited
On the ergodicity of unitary frame flows on Kähler manifolds
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
Let be a closed Kähler manifold with negative sectional curvature and complex dimension . In this article, we study the unitary frame flo…
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…