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math.AP2026
Metric-uniform spectral inequality for the Laplacian on manifolds with bounded sectional curvature
Alix Deleporte, Jean Lagacé, Marc Rouveyrol
Given a Riemannian manifold endowed with a smooth metric satisfying upper and lower sectional curvature bounds, we show an equivalence property between the n…
math.AP2024
Spectral estimates on hyperbolic surfaces and a necessary condition for observability of the heat semigroup on manifolds
Alix Deleporte, Marc Rouveyrol
This article is a continuation of arXiv:2401.14977. We study the concentration properties of spectral projectors on manifolds, in connection with the uncertainty principle. In arXi…