Metric-uniform spectral inequality for the Laplacian on manifolds with bounded sectional curvature

Alix Deleporte, Jean Lagacé, Marc Rouveyrol

Given a Riemannian manifold $M$ endowed with a smooth metric $g$ satisfying upper and lower sectional curvature bounds, we show an equivalence property between the ${\mathrm{L}}^2$ n…