%0 Journal Article
%T Negative results for Nikodym maximal functions and related oscillatory integrals in curved space
%A William Minicozzi II
%A Christopher D. Sogge
%J Mathematics
%D 1999
%I arXiv
%X We 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.
%U http://arxiv.org/abs/math/9912202v1