On submanifolds in locally symmetric spaces of noncompact type
Geometric Topology
2009-07-29 v2 Differential Geometry
Abstract
Given a connected, compact, totally geodesic submanifold Y^m of noncompact type inside a compact locally symmetric space of noncompact type X^n, we provide a sufficient condition that ensures that [Y^m] is nonzero in H_m(X^n; R); in low dimensions, our condition is also necessary. We provide conditions under which there exist a tangential map of pairs from a finite cover (X-bar,Y-bar) to the nonnegatively curved duals (X_u,Y_u).
Keywords
Cite
@article{arxiv.math/0607242,
title = {On submanifolds in locally symmetric spaces of noncompact type},
author = {Jean-Francois Lafont and Benjamin Schmidt},
journal= {arXiv preprint arXiv:math/0607242},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 15 December 2006