Integral curvature and topological obstructions for submanifolds
Differential Geometry
2011-11-16 v2
Abstract
We provide integral curvature bounds for compact Riemannian manifolds that allow isometric immersions into a Euclidean space with low codimension in terms of the Betti numbers.
Keywords
Cite
@article{arxiv.1008.1179,
title = {Integral curvature and topological obstructions for submanifolds},
author = {Theodoros Vlachos},
journal= {arXiv preprint arXiv:1008.1179},
year = {2011}
}