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Obstructions to distinguished Riemannian metrics via Lorentzian geometry

Advances in Theoretical and Mathematical Physics, 2022
We approach the problem of finding obstructions to curvature distinguished Riemannian metrics by considering Lorentzian metrics to which they are dual in a suitable sense. Obstructions to the latter then yield obstructions to the former.
A. Aazami
semanticscholar   +1 more source

Liouville property and quasi-isometries on negatively curved Riemannian surfaces

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023
Kanai proved powerful results on the stability under quasi-isometries of numerous global properties (including Liouville property) between Riemannian manifolds of bounded geometry.
A. Granados   +4 more
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Riemannian Constrained Policy Optimization via Geometric Stability Certificates∗

IEEE Conference on Decision and Control, 2022
In this paper, we consider policy optimization over the Riemannian submanifolds of stabilizing controllers arising from constrained Linear Quadratic Regulators (LQR), including output feedback and structured synthesis.
S. Talebi, M. Mesbahi
semanticscholar   +1 more source

Information geometry theory of bifurcations? A covariant formulation.

Chaos, 2022
The conventional local bifurcation theory (CBT) fails to present a complete characterization of the stability and general aspects of complex phenomena.
V. B. da Silva, J. P. Vieira, E. Leonel
semanticscholar   +1 more source

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