2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79670We expand on counterxamples of Bourgain showing how Nikodym maximal estimates and oscillatory integral estimates can break down in the non-Euclidean case. Our examples show the role that the non-existence of totally geodesic submanifolds can play in these problems.Classical Analysis and ODEs42Negative results for Nikodym maximal functions and related oscillatory integrals in curved spacetext